Question

find the x - and y - intercepts.
-4x - 9y = 36
write each intercept as an ordered pair. if there is more than one intercept, use the \and\ button. select
one\ if applicable.
part 1 of 2
x - intercept(s):
part 2 of 2
y - intercept(s):

Explanation:

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

Substitute $y=0$ into $-4x -9y=36$:
$$-4x -9(0)=36$$
$$-4x=36$$
$$x=\frac{36}{-4}=-9$$
The x-intercept ordered pair is $(-9, 0)$.

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

Substitute $x=0$ into $-4x -9y=36$:
$$-4(0) -9y=36$$
$$-9y=36$$
$$y=\frac{36}{-9}=-4$$
The y-intercept ordered pair is $(0, -4)$.

Answer:

x-intercept(s): $(-9, 0)$
y-intercept(s): $(0, -4)$