Express it in slope
Enter the corre
000
Clear all
-8
8
In slope-intercept form
Answers
In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.
Slope-intercept formula:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]
Point (0,0):
This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:
[tex]y = mx[/tex]
Slope:
When we have two points, the slope is given by the change in y divided by the change in x.
In this question, the two points are (0,0) and (-8,8).
Change in x: -8 - 0 = -8
Change in y: 8 - 0 = 8
Slope:
[tex]m = \frac{-8}{8} = -1[/tex]
Thus, the equation of the line, in slope-intercept formula, is:
[tex]y = -x[/tex]
For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520
The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:
1) Determine the Slope of the line by the Slope Equation for Secant Lines.
2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.
3) Write the resulting Equation of the Line.
Step 1:
The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:
[tex]m = \frac{8-0}{-8-0}[/tex]
[tex]m = -1[/tex]
Step 2:
The equation of the line is Slope-Intercept Form is now represented:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - Intercept.
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:
[tex]0 = -1\cdot (0) + b[/tex]
[tex]b = 0[/tex]
Step 3:
And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
Related question: https://brainly.com/question/18894159
Related Questions
if a person invests $220 at 7% annual interest, find the approximate value of the investment at the end of 10 years
Answers
Answer:
Amount of investment after 10 year = $432.76 (Approx.)
Step-by-step explanation:
Given;
Amount of investment = $220
Annual rate = 7% = 0.07
Number of year = 10 years
Find:
Amount of investment after 10 year
Computation:
A = P[1+r]ⁿ
Amount of investment after 10 year = 220[1+0.07]¹⁰
Amount of investment after 10 year = 220[1.07]¹⁰
Amount of investment after 10 year = 220[1.9671]
Amount of investment after 10 year = 432.762
Amount of investment after 10 year = $432.76 (Approx.)
chứng minh mệnh đề sau bằng phương pháp phản chứng:
" Nếu phương trình bậc hai ax2+bx+c=0 vô nghiệm thì a và c cùng dấu"
Answers
Answer:
Which language is this ?????
10 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches
Answers
Answer:
110.5 cubic inches
Step-by-step explanation:
Base is parallelogram, so area is
A = 4.7×5 = 23.5
Height(h) is 4.7, so volume is,
V = A×h
= 23.5×4.7
= 110.45 ≈ 110.5
Answered by GAUTHMATH
What is the range of the function?
Answers
Answer:
all real numbers greater than or equal to 11
Find the measure of PR.
PLEASE HELP ASAP!!
A. 18
B. 19
C. 25
D. 22
Answers
Answer:
A. 18
Step-by-step explanation:
the equation :
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18
If the length of FR is 16 units then the length of PR is 18 units which is option A.
What is circle?Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.
How to find length?From the rule of tangents and point outside the circle we can say that,
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18 units
Hence if the length of FR is 16 units then the length of PR is 10 units.
Learn more about circle at https://brainly.com/question/24375372
#SPJ2
What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property
Answers
Answer:
Definition of Congruent angles.
Step-by-step explanation:
Given
See attachment
Required
Complete the proof at step 8
At step 8, we have:
[tex]\angle ABC \cong \angle ABD[/tex]
When the sign [tex]\cong[/tex] is used, it means congruence
In other words;
ABC and ABD are congruent
Hence, the missing statement at step 8 is: Definition of Congruent angles.
Answer:
ABC and ABD are congruent
Step-by-step explanation:
Factor the greatest common factor. 5xy4-20x2y3
Answers
Answer:
Step-by-step explanation:
The greatest common factor of 5 and -20 is 5
x: the greatest common factor is x
y: the greatest common factor is y^3
Answer: 5xy^3(y - 4x)
If f(x) = [x]-5, what is f(8.6)?
O 3
O 4
O 8
O 9
Answers
Answer:
if the question wants you to round. the answer is 4.
Step-by-step explanation:
f(x)=[x]-5
where x= 8.6
substitute 8.6 for x and you have 8.6-5= 3.6= 4
125 + (a-b)³ help me
Answers
Answer:
(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
Step-by-step explanation:
125 + (a - b)³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Then
125 + (a- b)³
= 5³ + (a - b)³
with a = 5 and b = (a - b)
= (5 a a - b)(5² - 5(a - b) + (a - b)² )
= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)
= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
q · 7/9 = 4
What is q?
Answers
Answer:
q = 36/7 or 5 1/7
Step-by-step explanation:
q · 7/9 = 4
Multiply each side by 9/7
q · 7/9 *9/7 = 4*9/7
q = 36/7
If we want it as a mixed number instead of an improper fraction
7 goes into 36 5 times with 1 left over
q = 5 1/7
Analyzing the
Predict which statements are true about the intervals of
the continuous function. Check all that apply.
х
f(x)
01
-3
-15
-2
0
f(x) > 0 over the interval (- 3).
f(x) < 0 over the interval [0, 2].
f(x) < 0 over the interval (-1, 1).
f(x) > 0 over the interval (-2, 0).
f(x) > 0 over the interval [2, o).
-1
3
0
0
1
-3
2
0
3
15
Answers
Answer:
1 NO
2 YES
3 NO
4 YES
5 ÝE
Step-by-step explanation:
The true statements about the continuous function are:
f(x) ≤ 0 over the interval [0, 2].
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, )
What are the correct intervals of the continuous function?Functions in Math's are used to show relationships between variables.
Next, let us test the given options;
(A) f(x) > 0 over the interval (-∞, 3).
Using the table of f(x), the values in (-∞, 3) are values less than 3; i.e. -3 to 2.
If f(2) = 0, then f(x) > 0 is not true
(B) f(x) ≤ 0 over the interval [0, 2].
The values in [0, 2] are values from 0 to 2; i.e. 0, 1 and 2.
If f(0) = 0, f(1) = -3 and f(2) = 0
Then, f(x) ≤ 0
(c) f(x) < 0 over the interval (−1, 1).
Using the table of f(x), the values in (-1, 1) are values between -1 and 1; i.e. 0
If f(0) = 0, then f(x) < 0 is not true
(d) f(x) > 0 over the interval (–2, 0).
Using the table of f(x), the values in (-2, 0) are values between -2 and 0; i.e. -1
If f(-1) = 3, then f(x) > 0 is true
(e) f(x) ≥ 0 over the interval [2, ∞)
Using the table of f(x), the values in [2, ) are values from 2; i.e. 2 and 3
If f(2) = 0 and f(3) = 15, then f(x) ≥ 0 is true
Finally, the true statements are:
f(x) ≤ 0 over the interval [0, 2].
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ∞]
Read more about intervals of continuous functions at; https://brainly.com/question/11803482
GIVING BRAINLIEST TO CORRECT ANSWERS
Answers
Answer:
b is the correct answer
Step-by-step explanation:
I need help I don't understand it.
Answers
These angles are corresponding angles, and we know that corresponding angles are equal when a transversal intersects two parallel lines.
So,
8x - 12 = 6x + 8
=> 8x - 6x = 8 + 12
=> 2x = 20
=> x = 20/2
=> x = 10
So, the value of x is 10.
please mark this answer as brainlist
Find the length of x. Assume the triangles are similar.
A. 25
B. 12
C. 20
D. 19
Answers
Answer:
C=20
Step-by-step explanation:
The value of x is 20. so option C is correct.
What are corresponding sides?In literal sense, corresponding means pair wise sides. Like the right corner sides of two triangles etc.
For two similar figures, the pair by pair similar sides of those two similar figures are called corresponding sides. They are of same measurement.
Find the length of x. Let Assume the triangles are similar.
x/ 12 = 10/ 6
Cross multiplication;
x/ 12 = 10/ 6
x = 12 ( 10/ 6)
x = 20
Hence, the value of x is 20. so option C is correct.
Learn more about similar figure;
https://brainly.com/question/25187489
#SPJ5
Please find the missing number for this surface answer! I will mark brainiest if correct! 1.
Answers
Answer:
2
Step-by-step explanation:
[tex](2 * 6x) + (2 * 7x) + (2 * (6 * 7)) = 136[/tex]
[tex]12x + 14x + (2 * 42) = 136[/tex]
[tex]12x + 14x + 84 = 136[/tex]
[tex]12x + 14x = 136 - 84[/tex]
[tex]26x = 52[/tex]
[tex]x = 2[/tex]
You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use
Answers
Answer and explanation:
Assume Almond is a
Cashew is c
Peanuts is p
The system of equations satisfies this thus:
a+c+p= 10
7a+5c+2p= $20
The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.
pls pls pls help meeeeee
Answers
Answer:
i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3
Step-by-step explanation:
What is the equation of the line that passes through (-12,6) and (-6,1)?
Answers
(1-6)/(-6+12)= -5/6
Then use the equation, y=mx+b, to solve for y int. First, substitute the slope in for m, and then choose a coordinate to substitute for y and x.
1=-5/6(-6)+b
1=5+b
-4=b
y=-5/6x-4 is the equation of the line.
The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
100 tabletops
120 tabletops
240 tabletops
480 tabletops
Answers
Answer:
240
Step-by-step explanation:
The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
Answer:
240 Tabletops
Find the x-intercept or the
y-intercept of 8x+2y=6.
a. (0,3)
b. (3,0)
c. (-3,0)
d. (0,-3)
Answers
0,3 is the y-intercept (wich is always at x=0)
see screenshot for illustration.
you meant y-intercept, right?
find the measure of the indicated angle to the nearest degree
Answers
Answer:
39.401
Step-by-step explanation:
In order to study the shoe sizes of people in his town, Billy samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used
Answers
Answer:
Stratified sampling
Step-by-step explanation:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Divided by groups(according to age)
A certain amount of each group is sampled.
Thus, stratified sampling is used.
please help ASAP geometry
Answers
Answer:
A' (-6,12)
B' (9,9)
C' (-3,0)
Answered by GAUTHMATH
The receipt shows the prices of goods that Mr. Baker bought at the store.
The state Mr. Baker lives in has a sales tax rate of 7% on all purchases.
How much money does Mr. Baker pay in sales tax and what is the total amount he must pay for his purchases?
Answers
Answer:
The answer is $82.46 sales tax
$1,260.46 Total
Step-by-step explanation:
Since the price before the Sales tax is $1,178.00 and if you add the 7% Sales tax the total is $1,260.46 and the price of the Sales tax is $82.46
+
$329x.07=$23.03
+
$99x.07=$6.93
=
$82.46
1,178+82.46=
$1,260.46
Please hurry I will mark you brainliest
What is the equation of the line parallel to y = 2x - 4 and with the same x - intercept as 3x – 4y = 12?
Answers
Answer:
y=2x-8
Step-by-step explanation:
Hi there!
We want to find an equation of the line parallel to y=2x-4 but has the same x intercept as 3x-4y=12
Parallel lines have the same slope, but different y intercepts
In y=2x-4, which is written in y=mx+b form, m is the slope and b is the y intercept
2 is in the place of where the slope would be, so the slope of that line is 2
That means the slope of the line parallel to it would also have a slope of 2
Here is the equation of the parallel line so far:
y=2x+b
We need to find b, the y intercept
Typically, we'll substitute a point into the equation to solve for b, but we don't have a point, yet
We're given that the new line has the same x intercept as 3x-4y=12
The x intercept is the point where the line passes through the x axis, and so the value of y at that point is 0
Let's substitute 0 for y in 3x-4y=12 and solve for x to find the x intercept
3x-4(0)=12
Multiply
3x=12
Divide both sides by 3
x=4
So the value of the x intercept is 4. As a point, it's (4,0)
So now substitute the values of the point (4,0) into y=2x+b to find b
0=2(4)+b
Multiply
0=8+b
Subtract 8 from both sides
-8=b
Substitute -8 as b into the equation
y=2x-8
Hope this helps!
What is the circumference, in inches, of the front tire of Susan’s bike?
Answers
Answer:
The bike will travel approximately 1,272 inches or 106 feet.
Step-by-step explanation:
The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel. The formula used to find circumference is: C = dπ, where 'd' is the diameter and π = 3.14. In this case C = 27 x 3.14 ≈ 84.78 inches. Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel: 84.78 x 15 ≈ 1,272 inches. 1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12: 1272/12 = 106 feet.
Hope this answer helps you :)
Have a great day
Mark brainliest
A piece of land is 20cm by 5cm. A portion of the land by size 10cm by 2cm was used to cultivate tomatoes. what is the area of the land?
Answers
Answer:
80cm^2
Step-by-step explanation:
20*5=100
10*2=20
100-20=80
please help 15 points (picture)
Answers
Answer:
the first difference are all 20.
since the first differences of this relation are constant, it is a linear relation
Answer:
Linear because the account balance increases by a constant 20.
Step-by-step explanation:
→ The first difference is 20 for all values because :
20 - 0 = 20
40 - 20 = 20
60 - 40 = 20
80 - 60 = 20
100 - 80 = 20
How can this quadrilateral be classified?
Select each correct answer.
O trapezoid
O square
O rhombus
O parallelogram
Answers
Answer:
Rhombus, Square, Parallelogram :)
Step-by-step explanation:
I just did this question and I got the three answers above right. I hope this helps!
form a polynomial whose factors are (x+1) , (x+2) and (x-3)
Answers
Answer:
x³-7x-6
Step-by-step explanation:
Find the products of the factors
(x+1)(x+2)(x-3)
x²+3x+2(x-3)
x³+3x²+2x-3x²-9x-6
x³-7x-6
