Question

Write an equation in point-slope form for a line that passes through the given set of points.

(-2, - 4) and (1, 8)

Answer 1

First off, we need the slope

`(y2-y1)/(x2-x1)`

`(8-(-4))/(1-(-2))`

That leaves you with

12/3 = 4

point-slope form: y-y1 = m ( x - x1)

So...

y - (-4) = 4 ( x - (-2))

y + 4 = 4 (x + 2)

y + 4 = 4x + 8

Now subtract 4 from both sides of the equation

y = 4x +4