Question

What is the equation of a line that passes through (-5,-8) and (3,0)

Answer 1

`x - y - 3 = 0`

Step by step explanation:

consider a point A with coordinates (x,y) on this line, located somewhere in between the given 2 points.

let (-5,-8) be B and (3,0) be C

since BA lies on BC, their gradients are equal ;

`( - 8 - y)/( - 5 - x =) = ( - 8 - 0)/( - 5 - 3)`

`64 + 8y = 40 + 8x`

`8x - 8y - 24 = 0`

`x - y - 3 = 0`