Answers
Answer:
y = - 2 + [tex]\frac{1}{3}[/tex] x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0+2}{6-0}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = [tex]\frac{1}{3}[/tex] x - 2 , or
y = - 2 + [tex]\frac{1}{3}[/tex] x
Answer:
Proof
Step-by-step explanation:
"The y-intercept is - 2" and now I think the best way to prove the gradient is to prove it mathematically taking coordinates of the line and using:
[tex]m = \frac{y - y}{x - x} [/tex]
So I'll take the coordinates (6,0) and (0,-2) and substitute them in the formula for the gradient.
[tex]m = \frac{ - 2 - 0}{0 - 6} = \frac{ - 2}{ - 6} = \frac{1}{3} [/tex]
I hope this helps.
Related Questions
PLS HLP!!! For two arcs to be congruent, what conditions must be met? Check all that apply A. they must be in the same circle or congruent circles B. they must have the same central angle measures C. they must overlap D. One must be a major arc and the other a minor arc
Answers
Answer:
B
Step-by-step explanation:
Must be have the same central angle measure
Must be in the same circle or congruent circles
Solve for x
0.25x=10
Answers
Answer
40
Step-by-step explanation:
At 425 feet tall, the Orlando Starflyer is one of the tallest structures in Florida and the tallest Starflyer in the world, standing 25 feet higher than the Orlando Eye on International Drive. The image below shows the position of one swing at two different speeds. Which rider, A or B, is farther from the base of the swing tower?
Answers
Answer: Rider B is farther from the base of the Starflyer by the Hinge Theorem
Step-by-step explanation:
Find an equation of the line that passes through the point (2, -8) and is perpendicular to the line 2x-6y=10
Answers
9514 1404 393
Answer:
3x +y = -2
Step-by-step explanation:
First of all, it is helpful to put the given equation in standard form. We can do that by dividing it by 2 to eliminate the common factor from the numbers.
x -3y = 5
Next, since you want the perpendicular line, you can swap the coefficients of x and y, and negate one of them. This can give you ...
3x +y = (some constant)
The constant will be found using the given point.
3x +y = 3(2) +(-8) = -2 . . . the perpendicular line
An equation is ...
3x +y = -2
I NEED HELP ASAP!! just question 2 and 3!!
Answers
Answer:
2. 3
3. 125
Step-by-step explanation:
2. You have four squares with a total area of 36. Divide the area by 4 to find the area of 1.
36/4=9
The Area of 1 square is 9. That means that the side of a square is 3.
3. A cube has a side of 5 inches. All the sides of a cube are the same, and the volume formula is l*w*h = V
You can input the number into the equation. 5 * 5 * 5 = V
You can also read this as 5^3.
The Volume = 125
Is the following number rational or irrational?
9.0
A: rational
B: Irrational
Answers
Answer:
Rational
Explanation:
9 is a Rational Number
help as soon as possible Thank yu!!!!!
Answers
Answer:
I think 10??"
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
Find the equation of the line, given the following information:
Passes through (1.4) and is parallel to y = 2x + 6.
Answers
What is the first step when solving
the equation 3(3x - 5x) + 2 = -8?
Answers
Answer:
Multiply (3x - 5x) by 3
Step-by-step explanation:
First Step:
Multiply (3x - 5x) by 3
what is the parallel slope intercept form?
Answers
Answer:
slope intercept form is y=mx+b
a line parallel to y=-1/5x-1 is any line with the same slope but different y intercept. for example y=-1/5x+1
Step-by-step explanation:
The equation below represents Function A and the graph represents Function B:
Function A
f(x) = x – 9
Function B
(picture below)
Which equation best compares the slopes of the two functions? (1 point)
Select one:
a. Slope of Function B = 2 x Slope of Function A.
b. Slope of Function A = Slope of Function B
c. Slope of Function A = 2 x Slope of Function B
d. Slope of Function B = – Slope of Function A
Answers
Answer:The correct answer is option A
Step-by-step explanation: I reseach it
Explain why a +b=d.
Answers
Answer:a + b + c = 180 ( sum of angles in a triangle )
c + d = 180 ( adjacent angles are supplementary ), thus
a + b + c = c + d ( subtract c from both sides )
a + b = d
Step-by-step explanation:
3x-2y=1 ...Equation 1 -2x+3y=2 ...Equation 2 Solve this equation. Answer of x should be 3.5 or 7/2 and answer of y should be 4
Answers
Answer:
x = 7/13, y = 8/26
Step-by-step explanation:
3x-2y=1 ...Equation 1 -2x+3y=2 ...Equation 2 Solve this equation.
3x - 2y =>1.....Equation 1
2x + 3y => 2......Equation 2
We solve using Elimination
We multiply Equation 1 by 3 and Equation 2 by 2 to Eliminate y
9x - 6y => 3.....Equation 4
4x + 6y => 4.......Equation 5
We Add Equation 4 and 5
13x = 7
x = 7/13
We substitute 7/13 for x in Equation 1
3x - 2y =>1.....Equation 1
3(7/13) - 2y => 1
21/13 - 2y = 1
21/13 - 1 = 2y
y =>21/13 - 1/2
y => 8/13 ÷ 2
y = 8/13 × 1/2
y = 8/26
i need help with its slope practice
Answers
Answer:
m = -1
Step-by-step explanation:
Mr. Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet?
Answers
3. Identify the Y-Intercept from the graph:
Answers
Answer:
Answer
Step-by-step explanation:
The y-intercept is 2 because on (2,0) that's where the line crosses on the y axis.
Answer:
The Y intercept is 2 good luck
Step-by-step explanation:
The Y intercept is the number that the line EXACTLY crosses through
Find the slope and the y-intercept of the graph of the linear equation y=−17x+2.
Answers
Answer:
The slope is -17 and the y-intercept is 2.
Step-by-step explanation:
Answer:
y
=
17
x
2
−
37
2
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
17
2
b
=
−
37
2
The slope of the line i
Step-by-step explanation:
write an equation in slope intercept form m=2,(3,1)
Answers
First, we must find the y-intercept of the line given the slope and a point on the line and pluging it into slope-intercept form*.
[tex]1 = 2(3) + b\\\\1 = 6 + b\\\\-5 = b[/tex]
Now that we have the y-intercept, we can create the equation of this line.
[tex]y = 2x - 5[/tex]
*Slope-intercept form: y = mx + b ← y-intercept
↑
slope
How do I solve this equation?
Answers
Answer:
x=4,-3
step-by-step
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answers
Answer:
3/2
Step-by-step explanation:
Every week Kabore gets paid $100 plus 5% of his sales. How much does he need to sell if he wants to make $700 this week?
Answers
Answer:
$12,000
Step-by-step explanation:
Kabore wants to make $700 this week. We can subtract 100 from that amount because his base pay is $100.
700 - 100 = 600
This leaves us with 600. Kabore has to make $600 from his sales. However, he only gets paid 5% of his sales. So, 600 is worth 5% of his sales. This can be represented in an equation, where x represents his sales and 0.05 is 5% in decimal form:
[tex]\frac{600}{x}[/tex] = 0.05
Multiply both sides of the equation by x to isolate it on one side:
600 = 0.05x
Divide both sides by 0.05 to find the value of x:
12000 = x
Kabore needs to sell $12,000 worth of product if he wants to make $700 this week.
Hope this helps :)
b = 2
C = 3
(24 - b) + C = _
Answers
Answer:
24-b+c
Step-by-step explanation:
You bought a magazine for $3.75 and some notepads for $2 each. You spent a total of $17.75. How many notepads did you buy?
Answers
our equation is 17.75-2x (17.75 is our total, 2 is the price of one notepad, and x is how many we bought, aka what were solving for)
The required number of notepads purchased is given as 7.
Given that,
You bought a magazine for $3.75 and some notepads for $2 each. You spent a total of $17.75, how many notepads did you buy is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
let the number of the notepads purchased be x,
According to the question,
3.75 + 2x = 17.75
2x = 17.75 - 3.75
x = 14/2
x = 7
Thus, The required number of notepads purchased is given as 7.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ2
What is the slope of a perpendicular line to 3.2 + 4y = 9?
Answers
Write the point-slope equation of the line that passes through (7,3) whose
slope is 2.
Answers
Answer:
y - 3 = 2(x - 7).
Step-by-step explanation:
The point-slope form is
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.
So the answer is:
y - 3 = 2(x - 7).
Is the decimal terminating or repeating?
0.3
Answers
Answer:
depends if it keeps going then it would be repeating since it is not it terminates(stops)
Step-by-step explanation:
If f=3,8 = 5, h= 10 find the value of
2f-g + h
Answers
If y varies directly as x and y=15 when x =5, what is the value of y when x = 15?
Answers
Which part of this graph shows a nonlinear relationship?
Answers
Answer:
the answer is 4
Step-by-step explanation:
the line is curved therefore it is not LINEar
PLEASE HELP 100 POINTS
1. Rewrite both and from standard form into vertex form. Explain your process. HINT: Each
function has a common factor. Start by dividing it out.
2. State the vertex of each function. What does each vertex represent in context of The Twist?
3. Compare the a-value of to the a-value of the parent quadratic function. What effect does this
value have on a parabola?
4. Sketch both of the functions and on a single xy-plane. Describe the steps you took to create
your sketch.
5. use the vertex forms of and the sketch you created in question for to describe the track changes that occur when the function that represents The climb hill is altered from two do you think these changes will help younger riders better enjoy the twist? explain.
Answers
Answer:
Rewrite both and from standard form into vertex form.
f(x)=(0.10x+18)^2-5.64
g(x)=(0.03x+0.81^2-7.5261
(18,30) (27,15)
the a-value of the parent quadraic function affects the parabola by it open downwards
Step-by-step explanation:
