# How do you write an equation in point slope form that passes through P(2,3), slope 2?

Apr 24, 2018

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

#### Explanation:

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

•color(white)(x)y-y_1=m(x-x_1)

$\text{where m is the slope and "(x_1,y_1)" a point on the line}$

$\text{here "m=2" and } \left({x}_{1} , {y}_{1}\right) = \left(2 , 3\right)$

$\Rightarrow y - 3 = 2 \left(x - 2\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$