Question

find the $y$-intercept and $x$-intercept of the line.
$4x-6y=15$
write your answers as exact values. do not write your answers as ordered pairs.
$y$-intercept: $square$
$x$-intercept: $square$

Explanation:

Step1: Find y-intercept, set $x=0$

Substitute $x=0$ into $4x-6y=15$:
$$4(0)-6y=15$$
$$-6y=15$$
$$y=\frac{15}{-6}=-\frac{5}{2}$$

Step2: Find x-intercept, set $y=0$

Substitute $y=0$ into $4x-6y=15$:
$$4x-6(0)=15$$
$$4x=15$$
$$x=\frac{15}{4}$$

Answer:

y-intercept: $\boldsymbol{-\frac{5}{2}}$
x-intercept: $\boldsymbol{\frac{15}{4}}$