Question

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

y -intercept:

Explanation:

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

Substitute \( y = 0 \) into \( 3x - 6y = 6 \):
\( 3x - 6(0) = 6 \)
Simplify: \( 3x = 6 \)
Divide by 3: \( x = 2 \)

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

Substitute \( x = 0 \) into \( 3x - 6y = 6 \):
\( 3(0) - 6y = 6 \)
Simplify: \( -6y = 6 \)
Divide by -6: \( y = -1 \)

Answer:

x-intercept: \( 2 \)
y-intercept: \( -1 \)