Question

What is the slope of the line $-7y+8x=9$

Answer 1

Change $8x-7y=9$ in the slope intercept form: $y=mx+c$, where $m$ is the slope of the line and $c$ is the $y$-intercept.

$-7y+8x=9\Rightarrow -7y=-8x+9\Rightarrow y=\frac{8}{7}x-\frac{9}{7}$

Comparing the equation $y=\frac{8}{7}x-\frac{9}{7}$ with the equation $y=mx+c$, we get

$m=\frac{8}{7}$

Hence, the slope of the line is $\frac{8}{7}$.