Question

Find the slope of the 2 points given using the slope formula.

(3, -7) and (-2, 3)

Then, use the slope you found and 1 point to write the equation for the line in point-slope form.

Answer 1

The equation of the line is y = -2x - 1

Explanation:

To find the slope, start by using the slope formula with both of the points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (3 - -7)/(-2 - 3)

m = 10/-5

m = -2

Now that we have the slope, use it along with either point in point-slope form.

y - y1 = m(x - x1)

y - 3 = -2(x + 2)

y - 3 = -2x - 4

y = -2x - 1