Question

How do you write an equation of a line with points (4,-3), (2,3)?

Answer 1

`y = -3x + 9`

Explanation:

let say `x_1 = 4, y_1 = -3, x_2 = 2, and y_2 = 3`

Line equation,

`(y - y_1)/(x - x_1) = (y_1 - y_2)/(x_1 - x_2)`

plug the values above,
`(y - (-3))/(x - 4) = (-3 - 3)/(4 - 2)`

`(y +3)/(x - 4) = (-6)/2`

`y +3 = -3(x - 4)`

`y = -3x + 12 -3`

`y = -3x + 9`