# How do you write the equation of line with slope of 2 and point (3,4)?

Mar 26, 2018

$y = 2 x - 2$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here } m = 2$

$\Rightarrow y = 2 x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(3,4)" into the partial equation}$

$4 = 6 + b \Rightarrow b = 4 - 6 = - 2$

$\Rightarrow y = 2 x - 2 \leftarrow \textcolor{red}{\text{is the equation of the line}}$