Question

Graph the linear equation. 3x−4y=12 Please show it on a graph

Answer 1

Answer: The graph is attached.

Step-by-step 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":

$3(0)-4y=12\\\\y=\frac{12}{-4}\\\\y=-3$

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:

$3x-4(0)=12\\\\x=\frac{12}{3}\\\\x=4$

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