Question 793661
Recognize Slope-Intercept form:
y=mx+b.

Solve for y and match your result to conform to Slope-Intercept form.  
I will show this only GENERALLY.


{{{ax+by=c}}}, standard form.
{{{ax-ax+by=c-ax}}}
{{{0+by=c-ax}}}
{{{by=-ax+c}}}
{{{by(1/b)=(-ax+c)(1/b)}}}
{{{y=-(a/b)x+c/b}}}, slope-intercept form.


Your steps may vary slightly.