Question

Write the equation of the line that passes through the points (-1,3) and (-6, -7).

Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answer 1

y - 3 = 2(x + 1)

Explanation:

First, use rise over run to find the slope

(y2 - y1) / (x2 - x1)

(3 + 7) / (-1 + 6)

10 / 5

= 2

Now, plug in the slope and a point into the point slope formula:

y - y1 = m(x - x1)

y - 3 = 2(x + 1)

So, the equation in point slope form is y - 3 = 2(x + 1)