Question

Complete the equation of the line through (3, -8) and (6, -4).

Use exact numbers.

y =

Answer 1

Answer is y = 4/3x -12

Step by step

First we find slope by using formula
y2 - y1 over x2 - x1

Points (3, -8) and (6, -4)

-4 - -8 over 6 - 3

4 over 3 = 4/3 slope

Now we find our equation with point slope formula
y - y1 = m (x - x1)

Using points (6, -4)

y - -4 = 4/3 (x - 6)

Distribute

y + 4 = 4/3x - 8

subtract 4 from each side to isolate y

y + 4 -4 = 4/3x -8 -4

y = 4/3x -12