Question

What are the intercepts of the equation? Graph the equation. -3x + 4y = -12

Answer 1

X-intercept = 4Y-intercept = -3

Answer 2

Answer: The x -intercept of the line is (4,0).

The y-intercept of the line is (0,-3).

Step-by-step explanation:

The given equation of a line : $-3x + 4y = -12$

We know that the intercept of a line are the points on line where it crosses te x -axis or y-axis.

To find the x- intercept , substitute y=0 in the above equation , we get

$-3x+4(0)=-12\\\\\Rightarrow\ x=\dfrac{-12}{-3}=4$

Thus, the x -intercept of the line is (4,0)

To find the y- intercept , substitute x=0 in the above equation , we get

$-3(0)+4y=-12\\\\\Rightarrow\ y=\dfrac{-12}{4}=-3$

Thus, the y-intercept of the line is (0,-3)