Problem

Enter the correct answer that completes the sentence below.
The $x$-intercept of the graph of $4 x+6 y=24$ is
(Type an ordered pair.)

Answer

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Answer

\(\boxed{(6,0)}\) is the final answer.

Steps

Step 1 :The x-intercept of a graph is the point where the graph crosses the x-axis. At this point, the y-coordinate is 0. So, to find the x-intercept, we can set y = 0 in the equation and solve for x.

Step 2 :Substitute y = 0 into the equation 4x + 6y = 24 to get 4x = 24.

Step 3 :Solve the equation 4x = 24 to get x = 6.

Step 4 :So, the x-intercept of the graph of \(4x+6y=24\) is (6,0).

Step 5 :\(\boxed{(6,0)}\) is the final answer.

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