Question

Which equation best represents the line?

Answer 1

y = mx + b, where m = slope, and b = y-intercept.

y = 3x + 3

y = 1/2x - 3

y = 1/2x + 3

y = 3x + 1/2

we can eliminate 2 and 4 since the y-intercept in the graph is shown as (0, 3)

This leaves us with

y = 3x + 3 and y = 1/2x+3

m = change in y / change in x

We take any two points on the line to find the slope.

I chose (2, 4), (0, 3)

change in x: 2 - 0 = 2

change in y: 4 - 3 = 1

m = 1/2

This leaves us with the only answer that has the slope of 1/2 and the y-intercept of 3.

option: 3

y = 1/2x + 3