Find the x- and y-intercept of the line.

-4x +2y = 24







A.
x -intercept is -6; y-intercept is 12

B.
x -intercept is 12; y-intercept is -6

C.
x -intercept is -4; y-intercept is 2

D.
x -intercept is 2; y-intercept is -4

What is your choice ?

To find the x-intercept of a line, we set y = 0 and solve for x. This will give us the point at which the line crosses the x-axis. Similarly, to find the y-intercept, we set x = 0 and solve for y. This will give us the point at which the line crosses the y-axis.

Let's find the x-intercept first. We have the equation -4x + 2y = 24. Setting y = 0, we get:

-4x + 2(0) = 24
-4x = 24
Dividing both sides by -4, we have:
x = -6

So, the x-intercept is -6.

Now, let's find the y-intercept. We set x = 0 and solve for y:

-4(0) + 2y = 24
2y = 24
Dividing both sides by 2, we have:
y = 12

So, the y-intercept is 12.

Therefore, the correct answer is option A: x-intercept is -6 and y-intercept is 12.