Question

What is the equation and point slope form for the line that passes through the points (-3,5) and (-2,3)

Answer 1

y = -2x - 1

Explanation:

We first need to find the slope. To do this, find the difference between the y-values and divide it by the difference between the corresponding x-values:

(5-3)/(-3 - (-2))

2/-1

-2 is the slope

Next, input the slope and a coordinate in point-slope form to find the equation:

y - 5 = -2(x - (-3))

y = -2(x + 3) + 5

y = -2x -6 + 5

y = -2x - 1