# How do you write the point slope form of the equation given m=2/3 and (3,2)?

May 1, 2017

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

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{point-slope form}}$ is.

color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|))
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) \text{ a point on the line}$

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

$\text{substitute these values into the equation}$

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