Answer
$m=\frac{4}{7}$
Work Step by Step
The slope-intercept form equation of a straight line is $y=mx+b$, where $m$ is the slope.
To find the slope of the line $4x-7y=12$, we rearrange the equation in the form $y=mx+b$:
$4x-7y=12$
$-7y=-4x+12$
$7y=4x-12$
$y=\frac{4x-12}{7}$
$y=\frac{4x}{7}-\frac{12}{7}$
Comparing this equation with $y=mx+b$, we find that $m=\frac{4}{7}$.
