Question

What is the equation in point slope form of the line passing through (-2,0) and (2,8)?

Answer 1

y - 8 = 2(x - 2)

Explanation:

The point-slope of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (-2, 0) and (2, 8).

Substitute:

`m=(8-0)/(2-(-2))=(8)/(4)=2`

for the point (-2, 0):

`y-0=2(x-(-2))\\\\y-0=2(x+2)`

for the point (2, 8):

`y-8=2(x-2)`