What equation represents the proportional relationship displayed in the table? x 2 4 6 8 y 10 20 30 40 enter your answer in the box to complete the equation. y=[ ] x

Hey there!

To find the slope, we can use the slope formula rise over run. The rise is the change in y, and the run is the change in x.

Let's use the first 2 values for x and y.

The change in y is positive 10, and the change in x is positive 2.

10 ÷ 2 = 5

This means the slope of the equation is 5.

Since the relationship is proportional, there is no y-intercept.

The equation is y = 5x.

Hope this helps!

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is