Question

Find the slope of the line whose equation is 17x - 12y = -36.

Answer 1

there are a few methods that you can try; one way is simply to determine the difference between when x=0 and when x=1

Answer 2

another way is to solve the equation for "y" and the slope is read as the coeff of x

Answer 3

\[ax+by=c\]
\[x=0~:~by=c~;~y=\frac cb\]
\[x=1~:~a+by=c~;~y=\frac {c-a}b\]
\[slope=\frac {c-a}b-\frac cb=\frac{c-a-c}{b}=-\frac ab\]