Final answer:
The intercepts of the equation −x+2y=9 are (0,4.5) for the y-intercept and (-9,0) for the x-intercept.
Step-by-step explanation:
To find the intercepts of the equation −x+2y=9, we can set x and y to 0 and solve for the other variable.
When x = 0, we have -0 + 2y = 9, which simplifies to 2y = 9. Solving for y, we get y = 4.5. Therefore, the y-intercept is (0,4.5).
When y = 0, we have -x + 2(0) = 9, which simplifies to -x = 9. Solving for x, we get x = -9. Therefore, the x-intercept is (-9,0).
Learn more about intercepts of a linear equation