Question

find the x-intercept and y-intercept of the line.
5x - 6y = -30
x -intercept:

y -intercept:

Explanation:

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

Set \( y = 0 \) in \( 5x - 6y = -30 \).
\( 5x - 6(0) = -30 \)
\( 5x = -30 \)
\( x = \frac{-30}{5} = -6 \)

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

Set \( x = 0 \) in \( 5x - 6y = -30 \).
\( 5(0) - 6y = -30 \)
\( -6y = -30 \)
\( y = \frac{-30}{-6} = 5 \)

Answer:

x-intercept: \(-6\)
y-intercept: \(5\)