Question

Which equation represents the relationship shown in the graph?

Answer 1

Step 1

Find the slope m

Let

$A(2,4)\\B(4,8)$

we know that

the slope is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute in the formula

$m=\frac{8-4}{4-2}$

$m=\frac{4}{2}$

$m=2$

Step 2

Find the equation of the line

we know that

the equation of the line into point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=2$

$(x1,y1)=A(2,4)$

substitute

$y-4=2(x-2)$

$y=2x-4+4$

$y=2x$

therefore

the answer is the option

$y=2x$

Answer 2

Hi there!

We need to look at the slope for this answer, and on this graph, from the first point, we move up 2 and over 1. So the slope would be 2/1 or 2.

So, you answer here is y = 2x.

I hope I helped!