Question

Find the slope of the line 3x - 8y = -20

Answer 1

`\huge\boxed{(3)/(8)}`

To get the slope of a line from its standard form (
`Ax+By=C`), we can use
`m=-(A)/(B)`.

`\begin{aligned}m&=-(A)/(B)\\&=-(3)/(-8)&&\smash\Big&&\text{Substitute in the known values.}\\&=\boxed{(3)/(8)}&&\smash\Big&&\text{The negatives cancel out.}\end{aligned}`

Alternatively, we could have changed the equation to slope-intercept form and found the slope from there.