Question

Given equation is $x=5y-4$, then the slope is $\frac{1}{m}$. Find the value of $m$.

Answer 1

The equation of any straight line can be written as $y=mx+c$, where $m$ is its slope and $c$ is its y - intercept.
$x=5y-4$ can be written as $5y=x+4$ or $y=\frac{1}{5}x+\frac{4}{5}$
Comparing this equation with the standard form of the equation, we get:
$m=\frac{1}{5},c=\frac{4}{5}$
Hence, slope of $x=5y-4$ is $\frac{1}{5}$ and y -intercept is $\frac{4}{5}$

Hence, the value of $m$ is $5$.