Question

find the y-intercept and x-intercept of the line.
x - 2y = 6
y -intercept:
x -intercept:

Explanation:

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

Substitute \( x = 0 \) into \( x - 2y = 6 \):
\( 0 - 2y = 6 \)
\( -2y = 6 \)
Divide both sides by -2: \( y = \frac{6}{-2} = -3 \)

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

Substitute \( y = 0 \) into \( x - 2y = 6 \):
\( x - 2(0) = 6 \)
\( x = 6 \)

Answer:

y-intercept: \(-3\)
x-intercept: \(6\)