The y-intercept of the line occurs at y = 4, and the x-intercept occurs at x = 16.
To find the x- and y-intercepts of the line, you can substitute
to find the x-intercept and
to find the y-intercept.
Given the equation:
![\[ √(x) + y = 4 \]](https://img.qammunity.org/2024/formulas/mathematics/college/pkfb56tktu33s1nmhlxox2081gc33xdzg6.png)
Let's find the x-intercept:
![\[ √(x) + 0 = 4 \]](https://img.qammunity.org/2024/formulas/mathematics/college/2ikh3ukvra1v8wq3ti1w61tvivbgsziuan.png)
![\[ √(x) = 4 \]](https://img.qammunity.org/2024/formulas/mathematics/college/f3t2tspg2afa9hakicbdlk1mtsuuxhz4n0.png)
![\[ x = 16 \]](https://img.qammunity.org/2024/formulas/mathematics/college/p56id928tx0rrl2rgeucp22lwmslqfzx4v.png)
So, the x-intercept is 16.
Now, let's find the y-intercept:
![\[ √(0) + y = 4 \]](https://img.qammunity.org/2024/formulas/mathematics/college/g7kwbl205kkhx2y4hatgnkcq3h2eshu180.png)
![\[ y = 4 \]](https://img.qammunity.org/2024/formulas/mathematics/college/cedeq6zcu95lodyqtxigo1p07t9tc69g80.png)
So, the y-intercept is 4.
Now, let's check the answer choices:
A. x-intercept is 36; y-intercept is -4 (Incorrect)
B. x-intercept is -4; y-intercept is -36 (Incorrect)
C. x-intercept is -36; y-intercept is -4 (Incorrect)
D. x-intercept is 36; y-intercept is 4 (Incorrect)
None of the provided answer choices match the correct x- and y-intercepts, so there might be a mistake in the answer choices or the solution. Please review the problem or answer choices for accuracy.