Answer
x-intercept: $(3, 0)$
y-intercept: $(0, -2)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$2x-3y=6
\\2x-3(0)=6
\\2x-0=6
\\2x=6
\\\frac{2x}{2}=\frac{6}{2}
\\x=3$
Thus, the x-intercept is $(3, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$2x-3y=6
\\2(0)-3y=6
\\0-3y=6
\\-3y=6
\\\frac{-3y}{-3}=\frac{6}{-3}
\\y=-2$
Thus, the y-intercept is $(0, -2)$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
