## Elementary Algebra

$m=\frac{4}{7}$
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 $m=\frac{4}{7}$.