Write an equation in slope-intercept form of the line that passes through the points (-3, – 7) and (1,9).

y = 4x + 5

Step-by-step explanation:

As we move from the point (-3, -7) to the point (1, 9), x increases by 4 and y increases by 16.  Thus, the slope of the desired line is m = rise / run = 16/4 = 4.

The slope-intercept form is y = mx + b.  We must find b.

Here, m = 4, x = 1 and y = 9:

9 = 4(1) + b, so b = 5, and the desired equation is thus

y = 4x + 5

y=mx+b

step-by-step explanation:

m slope

b y-intercept