What is the slope intercept form of the line passing through (1,-5)  with a slope of -3/2 ?

May 12, 2018

$y = - \frac{3}{2} x - \frac{7}{2}$

Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here } m = - \frac{3}{2}$

$\Rightarrow y = - \frac{3}{2} x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(1,-5)" into the partial equation}$

$- 5 = - \frac{3}{2} + b \Rightarrow b = - \frac{10}{2} + \frac{3}{2} = - \frac{7}{2}$

$\Rightarrow y = - \frac{3}{2} x - \frac{7}{2} \leftarrow \textcolor{red}{\text{in slope-intercept form}}$