Final answer:
To find the x-intercept of the equation 2x-4y=8, set y to zero and solve for x, which gives you the point (4, 0). For the y-intercept, set x to zero and solve for y, resulting in the point (0, -2).
Step-by-step explanation:
To find the x- and y-intercepts for the equation 2x-4y=8, you need to set each variable to zero and solve for the other. For the x-intercept, set y to zero:
- 2x - 4(0) = 8
- 2x = 8
- x = 4
So, the x-intercept is at the point (4, 0).
For the y-intercept, set x to zero:
- 2(0) - 4y = 8
- -4y = 8
- y = -2
Thus, the y-intercept is at the point (0, -2).