Question

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

Answer 1

Answer:-a/b

Step-by-step explanation:

Answer 2

Answer:

-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