Question

Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)left parenthesis, minus, 3, comma, minus, 3, right parenthesis.

Answer 1

Answer:

The answer to your question is:   y = -8/3 x - 11

Step-by-step explanation:

A (-6, 5)

B (-3, -3)

Process

1.- Find the slope of the line

Formula

             $m = \frac{y2 - y1}{x2 - x1}$

Substitution

             $m = \frac{-3 - 5}{-3 + 6}$

Simplifying

            $m = \frac{- 8 }{3}$

2.- Find the equation of the line

Formula

              ( y - y1) = m(x - x1)                    

Substitution

             ( y + 3) = -8/3 (x + 3)

Simplifying

              y + 3 = -8/3 x - 8

              y = -8/3 x - 8 - 3

              y = -8/3 x - 11