133k views
5 votes
Find the x- and y-intercept of the line.

1-1/7x
√x+y=4
Ax-intercept is 36; y-intercept is -4
B x-intercept is -4; y-intercept is -36
Ox-intercept is -36; y-intercept is -4
Dx-intercept is 36; y-intercept is 4

User Wpkzz
by
8.1k points

1 Answer

0 votes

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
\(y = 0\) to find the x-intercept and
\(x = 0\) to find the y-intercept.

Given the equation:


\[ √(x) + y = 4 \]

Let's find the x-intercept:


\[ √(x) + 0 = 4 \]


\[ √(x) = 4 \]


\[ x = 16 \]

So, the x-intercept is 16.

Now, let's find the y-intercept:


\[ √(0) + y = 4 \]


\[ y = 4 \]

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.

User Smit Johnth
by
7.7k points