# What is the slope intercept form of the line passing through (12,7)  with a slope of -2/5 ?

Mar 21, 2018

$y = - \frac{2}{5} x + 11 \frac{4}{5}$

#### Explanation:

Slope-intercept form of an equation: y=mx+b, where m is the slope (in this case, $- \frac{2}{5}$) and b is the y-intercept (not given)

Right now, our equation is:
$y = - \frac{2}{5} x + b \rightarrow$ We need to find b

Plug in the coordinate point (12, 7). This point must be on the line.

$7 = - \frac{2}{5} \cdot 12 + b \rightarrow$ Solve for b

$7 = - \frac{24}{5} + b$

$b = 11 \frac{4}{5} \rightarrow$ This is our y-intercept

Put that into our unfinished equation above:

$y = - \frac{2}{5} x + 11 \frac{4}{5}$