What is the equation of the line with slope  m= 7/4  that passes through  (-21,4) ?

Jun 4, 2018

$y = \frac{7}{4} x + \frac{163}{4}$

Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here } m = \frac{7}{4}$

$y = \frac{7}{4} x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(-21,4)" into the partial equation}$

$4 = - \frac{147}{4} + b \Rightarrow b = \frac{16}{4} + \frac{147}{4} = \frac{163}{4}$

$y = \frac{7}{4} x + \frac{163}{4} \leftarrow \textcolor{red}{\text{is an equation of the line}}$