Question

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

Answer 1

Answer: 2y + 11x = -104

Explanation:

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

`(y-y_(1))/(x-x_(1))` =
`(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 :

`(y-3)/(x-(-10))` =
`(-8-3)/(-8-(-10))`

`(y - 3)/(x + 10)` =
`(-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