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