### Home > CC4 > Chapter 8 > Lesson 8.1.3 > Problem 8-43

8-43.

Mary says she can find the *x‑*intercept of the equation −4*x*+ 5*y*= 16 by substituting 0 for*x*, while Michelle says she needs to substitute 0 for*y*. Homework Help ✎Who, if anyone, is correct and why?

Use the correct approach to determine the

*x‑*intercept.

One way to view this is graphically: the *x*-intercept lies anywhere along the *x*-axis.

Michelle is correct. The *x*-intercept always has a *y*-coordinate of 0 because it lies on the *x*-axis.

Substitute 0 for *y* and then solve for *x*.