Answer
Refer to the image below for the graph.
Work Step by Step
To graph the given linear equation using the slope and y-intercept, perform the following steps:
(1) Solve for the x and y intercepts.
To find the x-intercept, set $y = 0$ and then solve for $x$:
$3x-4y=12
\\3x-4(0)= 12
\\3x=12
\\x=\frac{12}{3}
\\x=4$
This means that the x-intercept is at $(4, 0)$.
To find the y-intercept, set $x = 0$ and then solve for $y$:
$3x-4y=12
\\3(0) - 4y =12
\\-4y=12
\\y = \frac{12}{-4}
\\y=-3$
This means that the y-intercept is at $(0, -3)$.
(2) Plot the intercepts, and then connect them using a line.
(Please refer to the attached image in the answer part above for the graph.)
