Final answer:
The x-intercept and y-intercept of the equation -8x+5y=15 are (-1.875, 0) and (0, 3), found by setting one variable to zero and solving for the other.
Step-by-step explanation:
To find the x-intercept and y-intercept of the equation -8x+5y=15, one would set each variable to zero in turn and solve for the other variable.
For the y-intercept:
- Set x = 0.
- Solve the equation -8(0)+5y = 15.
- The y-intercept is (0, 3).
For the x-intercept:
- Set y = 0.
- Solve the equation -8x+5(0) = 15.
- The x-intercept is (-1.875, 0).
Therefore, the x-intercept and y-intercept for the equation -8x+5y=15 are (-1.875, 0) and (0, 3), respectively.