Answer:
the x-intercept of the equation is (-16, 0).
the y-intercept of the equation is (0, 2).
Explanation:
To find the x-intercept and y-intercept of the equation 1/2x = -4y - 8, we can set one of the variables to zero and solve for the other variable.
For the x-intercept, we set y = 0 and solve for x:
1/2x = -4(0) - 8
1/2x = -8
x = -8 * 2
x = -16
So the x-intercept of the equation is (-16, 0).
For the y-intercept, we set x = 0 and solve for y:
1/2(0) = -4y - 8
-4y = -8
y = 2
So the y-intercept of the equation is (0, 2).