Question

Graph the linear equation. 3x−4y=12

Please show it on a graph

Answer 1

Answer: The graph is attached.

Explanation:

By definition, the line intersects the y-axis when
`x=0`.

Then, in order to find the y-intercept, substitute
`x=0` into the equation and solve for "y":

`3(0)-4y=12\\\\y=(12)/(-4)\\\\y=-3`

By definition, the line intersects the x-axis when
`y=0`.

Then, in order to find the x-intercept, you can substitute
`y=0` into the equation and then you must solve for "x". Then you get:

`3x-4(0)=12\\\\x=(12)/(3)\\\\x=4`

Knowing that the line passes through the points
`(0,-3)` and
`(4,0)`, you can graph it (The graph is attached).