What is the slope of a line that is parallel to the line whose equation is ax+by=c?

Answer:-a/b

-a/b

Step-by-step explanation:

ax+by=c

First get the equation in slope intercept form (y = mx+b where m is the slope and b is the y intercept)

Subtract ax from each side

ax+by - ax=-ax + c

by = - ax+c

Divide each side by b

by/b = - ax/b + c/b

y = - a/b * x + c/b

The slope is - a/b and the y intercept is c/b

We want the line parallel so it has the same slope, - a/b