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).

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=(-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=(-12)/(4)=-3`

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