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 : [tex]-3x + 4y = -12[/tex]
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
[tex]-3x+4(0)=-12\\\\\Rightarrow\ x=\dfrac{-12}{-3}=4[/tex]
Thus, the x -intercept of the line is (4,0)
To find the y- intercept , substitute x=0 in the above equation , we get
[tex]-3(0)+4y=-12\\\\\Rightarrow\ y=\dfrac{-12}{4}=-3[/tex]
Thus, the y-intercept of the line is (0,-3)
