Question

Given equation is $5x=4y+7$, then the slope is $\frac{5}{m}$ 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.
$5x=4y+7$ can be written as $4y=5x-7$ or $y=\frac{5}{4}x-\frac{7}{4}$
Comparing this equation with the standard form of the equation, we get:
$m=\frac{5}{4},c=-\frac{7}{4}$
Hence, slope of $5x=4y+7$ is $\frac{5}{4}$ and y -intercept is $-\frac{7}{4}$

Hence the value of $m$ is $4$