# What are the intercepts for 3x-4y=-5?

Nov 13, 2014

$3 x - 4 y = - 5$

To find the $x$-intercept, set $y = 0$.

$3 x - 4 \left(0\right) = - 5 \implies 3 x = - 5$

by dividing by $3$,

$\implies x = - \frac{5}{3}$

Hence, the $x$-intercept is $- \frac{5}{3}$.

To find the $y$-intercept, set $x = 0$.

$3 \left(0\right) - 4 y = - 5 \implies - 4 y = - 5$

by dividing by $- 4$,

$\implies y = \frac{- 5}{- 4} = \frac{5}{4}$

Hence, the $y$-intercept is $\frac{5}{4}$.

I hope that this was helpful