# How do you write the equation in point slope form given Point: (–3, 7); Slope: 4?

Aug 8, 2018

$y = m x + + c$ is the general equation with $m$ as the slope

$y = 4 x + c$ now put (-3,7) into the equation to find the y intercept

$7 = 4 \times - 3 + c$

$7 = - 12 + c$

$c = 19$

This gives $y = 4 x + 19$

Aug 8, 2018

$y - 7 = 4 \left(x + 3\right)$

#### Explanation:

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

•color(white)(x)y-b=m(x-a)

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

$\text{here "m=4" and } \left(a , b\right) = \left(- 3 , 7\right)$

$y - 7 = 4 \left(x + 3\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$