Passes through (-2, 1) and (2, -5)

The equation of the line is:

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

In which m is the slope and b is the y-intercept.

Slope:

We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So

Change in y: -5 - 1 = -6

Change in x: 2 - (-2) = 2 + 4 = 4

Slope:

So

Passes through (-2, 1)

This means that when . We use this to find the y-intercept. So

So, the equation of the line is: