Find the y-intercept and the z- intercept for the equation 6x-2y=24

for the x-intercept, let y=0, then

6x=24
x=4

for the y-intercept, let x=0, then
-2y=24
y = -12

To find the y-intercept and z-intercept for the equation 6x - 2y = 24, we need to rewrite the equation in terms of y and z.

Given equation: 6x - 2y = 24

To find the y-intercept, we set x and z to 0 and solve for y. Let's set x = 0 and rewrite the equation:

6(0) - 2y = 24
-2y = 24
Divide both sides by -2:
y = -12

Hence, the y-intercept is -12.

To find the z-intercept, we set x and y to 0 and solve for z. Let's set x = 0 and rewrite the equation:

6(0) - 2y = 24
-2y = 24
Divide both sides by -2:
y = -12

Hence, the y-intercept is -12.