Answer:
To find the x-intercepts of a function, set y, or f(x), to 0 and solve for x.
For example:
![y=2x-6](https://img.qammunity.org/2023/formulas/mathematics/college/8vt75rlttvqyq8ve2zahjih7sdjnatvkpv.png)
When
, the equation becomes:
![0=2x-6](https://img.qammunity.org/2023/formulas/mathematics/college/40wgj2pm53o3lpglfjrolwccq8s4cjhxlz.png)
and this can easily be solved for x.
![6=2x](https://img.qammunity.org/2023/formulas/mathematics/college/qtyjiot40cauyyvrlz7h9ktcgk58xu55u7.png)
![3=x](https://img.qammunity.org/2023/formulas/mathematics/college/75mc88clzozgddkdgp6q6x51ozn9hu66zs.png)
![x=3](https://img.qammunity.org/2023/formulas/mathematics/high-school/tu78xmfzid4zbk5fl1tm8vw66ibi0yce1h.png)
Therefore, for this example, the line's x-intercept is at (0, 3).
Note that the y-coordinate is 0, since an intercept occurs when the other axis value is at 0.