Question

What is an equation of the line that passes through the points (-6,-3) and (-3,-5)

Answer 1

Answer:

y = - $\frac{2}{3}$ x - 7

Step-by-step explanation:

A( $x_{1}$ , $y_{1}$ ) , B( $x_{2}$ , $y_{2}$ )

y - $y_{1}$ = m( x - $x_{1}$ )

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

~~~~~~~~~~~~~

( - 6, - 3 )

( - 3, - 5 )

m = $\frac{-5+3}{-3+6}$ = - $\frac{2}{3}$

y + 5 = - $\frac{2}{3}$ ( x + 3)

y + 5 = - $\frac{2}{3}$ x - 2

y = - $\frac{2}{3}$ x - 7