Question

Complete the equation of the line through (-10,3) and (-8,-8)

Answer 1

Answer: 2y + 11x = -104

Step-by-step explanation:

The formula for calculating equation of line given two points is :

$\frac{y-y_{1}}{x-x_{1}}$ = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$x_{1}$ = -10

$x_{2}$ = -8

$y_{1}$ = 3

$y_{2}$ = -8

substituting the values into the formula , we have :

$\frac{y-3}{x-(-10)}$ = $\frac{-8-3}{-8-(-10)}$

$\frac{y - 3}{x + 10}$ = $\frac{-11}{2}$

2(y - 3 ) = -11 ( x +10 )

2y - 6 = -11x - 110

2y + 11x = -110 + 6

2y + 11x = -104

Therefore : the equation of the line in standard form is 2y + 11x = -104