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.