# How do you write the equation of a line in point slope form if the line contains the points (–2, 3) and (–1, –2)?

Oct 24, 2014

The point slope formula is
$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$
Where m = the slope calculated as $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$\left({x}_{1} , {y}_{1}\right) \left({x}_{2} , {y}_{2}\right)$
(-2 , 3) (-1 , -2)

m = $\frac{- 2 - 3}{- 1 - \left(- 2\right)}$ = $\frac{- 5}{1}$ = m = -5

$\left(y - 3\right) = - 5 \left(x - \left(- 2\right)\right)$

$y - 3 = - 5 \left(x + 2\right)$

$y - 3 = - 5 x - 10$

$y = - 5 x - 10 + 3$

$y = - 5 x - 7$