# What is the point slope form of the line passing through (-2,3), with slope m=-1?

Mar 9, 2018

color(blue)((y - 3 ) = -1 * (x + 2)

#### Explanation:

Point slope form of an equation is $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

Given : ${x}_{1} = - 2 , {y}_{1} = 3 , s l o p e = m = - 1$

$\left(y - 3\right) = - 1 \cdot \left(x + 2\right)$

Mar 9, 2018

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

#### Explanation:

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

•color(white)(x)y-y_1=m(x-x_1)

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

$\Rightarrow y - 3 = - 1 \left(x - \left(- 2\right)\right)$

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