Question

What is the equation for the line that passes through the points (-5, 2) and (5, -6)?

Answer 1

Answer: 5y+ 4x +30 = 0

Explanation:

The formula for finding the equation of line when two points are given is :

`(y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2) -x_(1))`

`x_(1)=-5`

`x_(2)=5`

`y_(1)=2`

`y_(2)=-6`

substituting into the formula , we have :

`(y-2)/(x-(-5))=(-6-2)/(5-(-5))`

`(y-2)/(x+5) = (-8)/(10)`

we have:

`(y-2)/(x+5)=(-4)/(5)`

which will give :

`5(y+2) = -4(x+5)`

which will be :

`5y + 10 = -4x - 20`

writing in standard form , we have :

`5y+ 4x +30 = 0`