Write the equation of the line that passes through the points (-2,5)(−2,5) and (-3,-2)(−3,−2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answer 1

Assuming the line goes through 2 points (−2,5) and (-3,-2)

Let's find the slope which is the (y2-y1)/(x2-x1). If point 1 is (-2,5) and point 2 is (-3,-2), then

slope m = (-2-5)/(-3 - -2) = -7/(-1) = 7

Now you can use either point to write an equation in point-slope form.

1. using (-2,5): y - 5 = 7*(x+2)
2. using (-3,-2): y +2 = 7*(x+3)