find the slope of the graph write it as a fraction or whole number not a mixed number. find two points on the line (0,-4) and (3,0) slope = change in y / change in x
Answers
Answer:
The slope of the graph will be:
[tex]m=\frac{4}{3}[/tex]From the attached graph, it is clear that
the y-intercept is: (5, 0) ∵ to find the y-intercept, set x=0the x-intercept is: (0, -4) ∵ to find the x-intercept, set y=0Step-by-step explanation:
Given the two points on the line
(0, -4)(3, 0)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-4\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)[/tex]
[tex]m=\frac{0-\left(-4\right)}{3-0}[/tex]
[tex]m=\frac{4}{3}[/tex]
Hence, the slope of the graph will be:
[tex]m=\frac{4}{3}[/tex]
We can also find the equation of the line using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 4/3 and the point (0, -4)
[tex]y-\left(-4\right)=\frac{4}{3}\left(x-0\right)[/tex]
[tex]y+4=\frac{4}{3}\left(x-0\right)[/tex]
[tex]y+4=\frac{4}{3}x[/tex]
[tex]y=\frac{4}{3}x-4[/tex]
Therefore, the equation of the line will be:
[tex]y=\frac{4}{3}x-4[/tex]
The graph of the equation line is also attached below.
From the graph, it is clear that
the y-intercept is: (5, 0) ∵ to find the y-intercept, set x=0the x-intercept is: (0, -4) ∵ to find the x-intercept, set y=0
Related Questions
The below shows the cost of items sold at Luke's electronics. Which two items would represent the ratio 3:1
Xbox game $60
Stereo $100
DVD player $30
TV $400
Blue Ray Player $90
Answers
please answer this for me
Answers
Divide 24 by 40. Then multiply that by 15. You get 9. Multiply 9 and 24
Brian drinks tea at an incredable rate he drinks 3 1/2 liters of tea every 2/3 of an hour . Ben drinks at a constant rate how many liters of tea does he drink in one hour
Answers
Answer:
5 1/2 liters of tea
Step-by-step explanation:
Brian drinks tea at an incredable rate he drinks 3 1/2 liters of tea every 2/3 of an hour . Ben drinks at a constant rate how many liters of tea does he drink in one hour
3 1/2 =>7/2 => 2/3 hour
Hence:
2/3 hour = 7/2 liters
1 hour = x
Cross Multiply
2/3 x = 1 × 7/2
x = 7/2 ÷ 2/3
x = 7/2 × 3/2
x = 21/4
x = 5 1/4 liters
Hence, Brian drinks 5 1/4 liters in 1 hour
A tour company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable.
Answers
Answer:
200+25n=1650
n=58
Step-by-step explanation:
200+25n=1650
25n=1450
n=58
The solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given that company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour.
Let's consider n be the number of people going on the tour.
Then the inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be;
200+25n ≥1650
To solve for n;
200+25n=1650
25n=1450
n=58
Hence, the solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.
Learn more about inequalities here:
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PLEASE HELP (question image attached)
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Answer:
i think its A
Step-by-step explanation:
need help on 5 and 6 finding the unit rate PLEASE HELP!!
Answers
Answer:
Step-by-step explanation:
Your correct lets say it was at 30 degrees, it would be in 4 hours so the unit rate is 15/2, the same with number 6 it would be 366 miles in 6 hours so the unit rate is 183/3
k(-1)=? need hlep not ask for mush answers quick pls ❤️❤️
Answers
How is 0.09 smaller than 0.1
Answers
Answer:
[tex]0.09 < 0.1[/tex]
Step-by-step explanation:
Remember that it doesn't matter how many numbers are after the tenths place of a decimal point what matters is the tenths place itself. If you have a decimal that has dozens of numbers but it's tenth place is a 3 and then you have a decimal with 5 numbers in whole but it's tenths place is 4, the 4 is greater then the 3 simply because it's greater in tenths.
Hope this helps.
Factor 9x+15 pls help
Answers
Answer:
3(3x+5)
Step-by-step explanation:
You factor of 3 from both so 9/3 is 3 plus the x and 15/3 is 5 so you would get 3(3x+5)
What's the linear equation?
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OMG IM SO BAD AT THIS HELP KE PLEASE IM BEGGGINNGGGG
Answers
D
My
Fmfkdd dndmdkdx
2/5+6/10
What is the answer
Answers
Answer:
Its 1
Step-by-step explanation:
6-4x=6x-8+2
cual es la respuesta de esta ecuación ?
Answers
6-4x = 6x-6
10x = 12
x = 6/5
Answer:
La repuesta es 6/5.
Step-by-step explanation:
6-4x=6x-8+2
-2 -2
4-4x=6x-8
+8 +8
12-4x=6x
+4x +4x
12=10x
÷10 ÷10
12/10=x
6/5=x
1) Simplify the expression:
12 - [2 +6+ (10 - 23)] =
Answers
Answer:
17
Step-by-step explanation:
use PEMDAS but it’s 17
Answer:
Simplifying
12 + -1[2 + 6 + (10 + -23)] = 0
Step-by-step explanation:
simplify (3+4i)-(-1-4i)
Answers
Peter says, "If you subtract 13 from my number and multiply the difference by - 4 the result is
100. "What is Peter's number?
Peter's number is
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(a) What is the equation of the line, written in point-slope form? Show your work.
Step 1: Find the slope. m = y2 – y1 = _____- ____ = ______
x2 – x1 -
Step 2: Use point (4,15) and slope (m) from step 1 and complete the equation in point-slope form.
y-y1 = m (x-x1) y - _____ = _____ (x - ______)
Answers
Answer:
comments maxed out
Step-by-step explanation:
Plzzz help ty
What is the difference of the values of the two variables in this system of equations?
y= 2x + 1
x + 3y = 10
Α. 0
B. 1
C. 2
D. 3
Answers
Answer: C
Step-by-step explanation: y = 2x + 1, x + 3y = 10 in these two equations you can put y = 2x + 1 in 3y in x + 3y = 10 so it would be x + 3(2x + 1) = 10,
x + 6x + 3 = 10, 7x = 7 so x = 1 and when we put the value of x in y = 2x + 1, it would be y = 2(1) + 1 so y = 3. difference would be 3 - 1 = 2 so it is C
what is the graph of y=1/7x+5
Answers
Answer:
−1/7
Step-by-step explanation:
Please help me on this question
Answers
11/3 ÷ 2/ 3
/ is fraction
Answers
Answer:
that looks tough
Step-by-step explanation:
msybi
Answer:
decimal way 5.5
Step-by-step explanation:
fraction way 5 1/2
shut up bought a pen on sale. she saved 17% of the original price of $29. about how much money did she save? a $1 b $5 c $10 or d$20
Answers
Answer:
$4.93 cents so round it to $5.00
Step-by-step explanation:
7. The ski club has 47 members. There are 25 more downhill skiers than there are cross-country skiers. How many downhill skiers are there? How many cross-country skiers?
and how do you set this up ?
Answers
Answer:
36
Step-by-step explanation:
36-25=11
36+11=47
What is the total cost of a $250,000 house with a 6.5% tax rate?
Answers
Answer:
266,250$
Step-by-step explanation:
Jessie bought f bags of potting soil for $2.00 each. Which expression shows how much Jessie paid?
A. f + 2
B. 2f
C. 2f + 2
D. f + f
Answers
Answer:
B. 2f
Step-by-step explanation:
give brainliest please :)
Answer:
the answer is a because since it’s $2 each and there’s f amount of bags, you would multiply to get the total cost so that means its B
Step-by-step explanation:
(3x-7) (x+5) what is the value of x
Answers
Answer:
3x^2+8x−35
Step-by-step explanation:
sry if this is wrong
Estimate the quotient: 0.233 ÷ 0.047 ASAP this is my lats question pls help
Answers
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
4.957 something is the answer
I cut out a square piece of fabric with an area of 32 square feet. Which expression could be used to find the side length of the fabric?
Answers
Answer:
area=length*width
32/width=length
The expression to find the side length of the fabric is,
⇒ Side length = √32
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The area of a square piece of fabric = 32 square feet
Now,
Since, We know that;
⇒ Area of square = Side²
Substitute the value of area of square piece of fabric in above equation, we get;
Side² = 32
Take square root both side, we get;
Side = √ 32
Thus, The expression to find the side length of the fabric is,
⇒ Side length = √32
Learn more about the mathematical expression visit:
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Please help me with this I would appreciate it a lot thank you!
Answers
Answer: B
Step-by-step explanation: Big Brain
mark spent 135$ on his comic book collection. he just sold it online for 310$. approximately what is the profit as a percent of his original cost?
Answers
Answer:
70% is approximately the answer
Step-by-step explanation:
135 x 2 = 270
310 - 270 = 40
35 out of 40 is 7/8.
The answer should be approx 70, I can not make sure.
