Answer: The graph is attached.
Step-by-step explanation:
By definition, the line intersects the y-axis when [tex]x=0[/tex].
Then, in order to find the y-intercept, substitute [tex]x=0[/tex] into the equation and solve for "y":
[tex]3(0)-4y=12\\\\y=\frac{12}{-4}\\\\y=-3[/tex]
By definition, the line intersects the x-axis when [tex]y=0[/tex].
Then, in order to find the x-intercept, you can substitute [tex]y=0[/tex] into the equation and then you must solve for "x". Then you get:
[tex]3x-4(0)=12\\\\x=\frac{12}{3}\\\\x=4[/tex]
Knowing that the line passes through the points [tex](0,-3)[/tex] and [tex](4,0)[/tex], you can graph it (The graph is attached).
