Answer
$4x-5y=10$
$5y=4x-10$
$y=\frac{4}{5}x-2$
The new slope is the negative reciprocal of $\frac{4}{5}$. The new slope is $-\frac{5}{4}$.
Use point-slope form:
$y-4=-\frac{5}{4}x$
$f(x)=-\frac{5}{4}x+4$
Work Step by Step
$4x-5y=10$
$5y=4x-10$
$y=\frac{4}{5}x-2$
The new slope is the negative reciprocal of $\frac{4}{5}$. The new slope is $-\frac{5}{4}$.
Use point-slope form:
$y-4=-\frac{5}{4}x$
$f(x)=-\frac{5}{4}x+4$
