# What is the point slope form of the line that passes through (4, –4) and (9, –1)?

Oct 20, 2015

$y + 4 = \frac{3}{5} \left(x - 4\right)$

#### Explanation:

Since it didn't give the slope, we're gonna use the two-point slope form

$\left(y - {y}_{1}\right) = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} \left(x - {x}_{1}\right)$

$\left(y - - 4\right) = \frac{- 1 - - 4}{9 - 4} \left(x - 4\right)$

$\left(y + 4\right) = \frac{- 1 + 4}{9 - 4} \left(x - 4\right)$

$y + 4 = \frac{3}{5} \left(x - 4\right)$