Answer
Refer to the attached image for the graph and the step by step part for the solution.
Work Step by Step
RECALL:
(i) The x-intercept can be found by setting y=0 then solving for x.
(ii) The y-intercept can be found by setting x=0 then solving for y.
Solve for the intercepts to have:
x-intercept:
$\frac{1}{2}x-\frac{1}{3}y+1=0
\\\frac{1}{2}x - \frac{1}{3}(0)+1=0
\\\frac{1}{2}x-0+1=0
\\\frac{1}{2}x+1=0
\\\frac{1}{2}x=-1
\\x = -1(2)
\\x=-2$
The x-intercept point is (-2, 0).
y-intercept:
$\frac{1}{2}x-\frac{1}{3}y+1=0
\\\frac{1}{2}(0) - \frac{1}{3}y+1=0
\\0-\frac{1}{3}y+1=0
\\-\frac{1}{3}y+1=0
\\1=0+\frac{1}{3}y
\\1=\frac{1}{3}y
\\3(1) = y
\\3=y$
The y-intercept point is (0, 3).
Plot these points and connect them using a line.
(refer to the attached image in the answer part)
