Question

graph the equation and give the intercepts.
2x - 3y = 6

○ (0,-2) and (3,0)

graph of a line on a coordinate plane with x-axis from -10 to 10 and y-axis from -10 to 10

Explanation:

Step1: Find y-intercept

Set \( x = 0 \) in \( 2x - 3y = 6 \).
\( 2(0) - 3y = 6 \)
\( -3y = 6 \)
\( y = \frac{6}{-3} = -2 \).
So y-intercept is \( (0, -2) \).

Step2: Find x-intercept

Set \( y = 0 \) in \( 2x - 3y = 6 \).
\( 2x - 3(0) = 6 \)
\( 2x = 6 \)
\( x = \frac{6}{2} = 3 \).
So x-intercept is \( (3, 0) \).

Answer:

\( (0, -2) \) and \( (3, 0) \)