How do you write an equation in slope-intercept form of the line that passes through (2,7); Slope: 1?

Apr 15, 2018

$y = x + 5$

Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here } m = 1$

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

$\text{to find b substitute "(2,7)" into the partial equation}$

$7 = 2 + b \Rightarrow b = 7 - 2 = 5$

$\Rightarrow y = x + 5 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$