Question

Find the slope of the line $5x-5y=7$

Answer 1

The slope intercept form of the line is: $y=mx+c$, where $m$ is the slope of the line and $c$ is the $y$-intercept.

Therefore, rewrite the given equation of line $5x-5y=7$ as follows:

$-5y=-5x+7$

$5y=5x-7$

$y=\left(\frac{5}{5}\right)x-\left(\frac{7}{5}\right)$

$y=x-\left(\frac{7}{5}\right)$

Comparing the equation $y=x-\left(\frac{7}{5}\right)$ with the equation $y=mx+c$ we get, $m=1$ and $c=-\frac{7}{5}$.

Hence, the slope of the line is $1$.