Answer
x-intercept: $(3, 0)$
y-intercept: $(0, -6)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$y=2x-6
\\0=2x-6
\\6=2x
\\\frac{6}{2}=\frac{2x}{2}
\\3=x$
Thus, the x-intercept is $(3, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$y=2x-6
\\y=2(0)-6
\\y=0-6
\\y=-6$
Thus, the y-intercept is $(0, -6)$.
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.
