skynugurq7

2022-07-01

Find the equation of the line that satisfies the given conditions:
Goes through $\left(-\frac{1}{2},\frac{4}{5}\right)$ and is perpendicular to the line $4x-5y=10$

Camron Herrera

Expert

Through $\left(-\frac{1}{2},\frac{4}{5}\right)$; perpendicular to $4x-5y=10$
$4x-5y=10$
$4x-10=5y$
$\frac{4}{5}x-2=y$
perpendicular slope: $-\frac{5}{4}$
$y-\frac{4}{5}=-\frac{5}{4}\left(x+\frac{1}{2}\right)$

Jeffrey Jordon

Expert