Question

find the y-intercept and x-intercept of the line.
x - 3y = -6
y -intercept:

x -intercept:

Explanation:

Step1: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( x - 3y = -6 \):
\( 0 - 3y = -6 \)
Solve for \( y \): \( -3y = -6 \) → \( y = \frac{-6}{-3} = 2 \).

Step2: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( x - 3y = -6 \):
\( x - 3(0) = -6 \)
Simplify: \( x = -6 \).

Answer:

\( y \)-intercept: \( 2 \)
\( x \)-intercept: \( -6 \)