Q:

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.

Accepted Solution

A:
Answer:The answer to your question is:   y = -8/3 x - 11Step-by-step explanation:A (-6, 5)B (-3, -3)Process1.- Find the slope of the lineFormula              [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]Substitution              [tex]m = \frac{-3 - 5}{-3 + 6}[/tex]Simplifying             [tex]m = \frac{- 8 }{3}[/tex]2.- Find the equation of the lineFormula               ( 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