# How do you write the equation of a line given (-3,5), m= -1?

Mar 13, 2018

$y = - x + 2$

#### Explanation:

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

•color(white)(x)y=mx+b

$\text{where m id the slope and b the y-intercept}$

$\text{here } m = - 1$

$\Rightarrow y = - x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(-3,5)" into the partial equation}$

$5 = 3 + b \Rightarrow b = 5 - 3 = 2$

$\Rightarrow y = - x + 2 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$