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

Mar 29, 2017

$y = - 3 x + 9$

Explanation:

let say ${x}_{1} = 4 , {y}_{1} = - 3 , {x}_{2} = 2 , \mathmr{and} {y}_{2} = 3$

Line equation,

$\frac{y - {y}_{1}}{x - {x}_{1}} = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$

plug the values above,
$\frac{y - \left(- 3\right)}{x - 4} = \frac{- 3 - 3}{4 - 2}$

$\frac{y + 3}{x - 4} = \frac{- 6}{2}$

$y + 3 = - 3 \left(x - 4\right)$

$y = - 3 x + 12 - 3$

$y = - 3 x + 9$