The line that has a slope of -2/3 is line c
Step-by-step explanation:
1. 1st of all calculate the gradient
( - 3, 5) ( 2, 10)
Gradient = (10 - 5) / ( 2--3)
= 1
2. Then find the eq
Y = mx + c
Where m is the gradient
y= 1x + c
Now replace any 2 coordinates from above in the eq.
For ex I'm taking (2, 10)
Y = 1x + c
In the coordinate, x = 2 and y =10
By replacing this in the eq, I will find c
10 = 1(2) + c
2 + c = 10
c = 10 - 2
= 8
So the eq is y = x + 8 ⬅️
First you plot in the y-intercept of the equation. To find the y-intercept, substitute 0 into x. -3m will cancel our giving you y=5. x=0, y=5, the first ordered pair is (0,5). Now after you plot in the y-intercept, use your slope, which is -3, to graph the points of the equation. Starting from (0,5), move down 3 spaces on the y-axis (because it’s -3) and you’ll end up at (0,2). Next move over 1 ( all slopes with just a whole number moves on the x-axis 1 since the whole number divided by 1 doesn’t change the slope number) to the right because it’s a negative linear equation so it’ll go downward. After moving right, you’ll get (1,2). Do a couple more points starting from (1,2) then the 3rd point ABD and so on to get 3 or more points to be able to draw a linear line.
The equation that models the number of funnel cakes and Oreos he can buy is 3.50x + 2.0y = 42
Data given;
- Cost of Oreos = $2.00
- The total amount spent = $42.00
<h3>What is the Equation</h3>
To solve this problem, we just need to write out an equation to show how he can spend $42.00 in the fair on Oreos and Cakes.
Let x represent the cakes
Let y represent the Oreos
The equation is thus;
The equation that shows the number of Cakes and Oreos can by is
3.50x + 2.0y = 42
Learn more about equation here;
brainly.com/question/13729904
The coefficient 7 means that the length is 7 times the width
<h3>How to interpret the coefficient?</h3>
The given parameters are:
Width = x
Length = 7x
Area = 7x^2
We have:
Length = 7x
Substitute Width = x in Length = 7x
Length = 7 * Width
This means that the length is 7 times the width
Read more about areas at:
brainly.com/question/14137384
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