Question

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

Answer 1

Answer:

y - 8 = 2(x - 2)

Step-by-step explanation:

The point-slope of an equation of a line:

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

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

Substitute:

$m=\dfrac{8-0}{2-(-2)}=\dfrac{8}{4}=2$

for the point (-2, 0):

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

for the point (2, 8):

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