Question

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

Answer 1

y = 4/3x - 12

Explanation:

Use Point Slope Form: (y - y1) = m(x - x1)

Step 1: Find the slope

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

m =
`(-4 - (-8))/(6 - 3)`

m =
`(-4 + 8)/(3)`

m =
`(4)/(3)`

Step 2: Plug into point slope form

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

y + 4 = 4/3x - 24/3

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

y = 4/3x - 12

Answer: y = 4/3x - 12