# What is the point-slope form of the line that passes through (5,-1) and has a slope of 12/31?

Aug 12, 2018

$y + 1 = \frac{12}{31} \left(x - 5\right)$

#### Explanation:

$\text{the equation of a line in "color(blue)"point-slope form}$ is.

•color(white)(x)y-b=m(x-a)

$\text{where m is the slope and "(a,b)" a point on the line}$

.$\text{here "m=12/31" and } \left(a , b\right) = \left(5 , - 1\right)$

$y + 1 = \frac{12}{31} \left(x - 5\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$