Question

What is an equation of the line that passes through the points (-4, -6) and
(8, 3)?

Answer 1

`y = ( 3)/(4) x - 3 \\`

Explanation:

to find the equation for given 2 point, we need to first find the gradient of these 2 point, then use the gradient and one of the given point to find the equation

`m = (3 - ( - 6))/(8 - ( - 4)) = (9)/(12) = (3)/(4) \\ y - 3 = (3)/(4) (x - 8) \\ y = (3)/(4) x - 6 + 3 \\ y = (3)/(4) x - 3`