Question

find the x-intercept and y-intercept of the line.
4x + 6y = -36
x -intercept:

y -intercept:

Explanation:

Step1: Find x-intercept (set y=0)

Substitute \( y = 0 \) into \( 4x + 6y = -36 \):
\( 4x + 6(0) = -36 \)
Simplify: \( 4x = -36 \)
Divide by 4: \( x = \frac{-36}{4} = -9 \)

Step2: Find y-intercept (set x=0)

Substitute \( x = 0 \) into \( 4x + 6y = -36 \):
\( 4(0) + 6y = -36 \)
Simplify: \( 6y = -36 \)
Divide by 6: \( y = \frac{-36}{6} = -6 \)

Answer:

x-intercept: \(-9\)
y-intercept: \(-6\)