Slope is defined as rise/run. Specifically, ((y2 - y1)/x2 - x1))- To define slope, we read the graph from right to left. Pick two points on the graph. I’ll pick the following two points:
(-2,13) and (0,5)
Applying the above formula will get you ((13-5)/(-2-0)) = 8/-2= -4
-4 is the slope
The y-intercept is the y-value where the line crosses the y axis. In this function, the y-intercept is 5.
The slope intercept form can be written in the form: y = mx + b where m is the slope and b is the y-intercept. Therefore, substitution of the values we’ve got will give us the following answer:
y = -4x + 5
