Problem

Find the $\mathrm{x}$-intercept and the $\mathrm{y}$-intercept of the graph of the equation.
\[
2 x+6 y=36
\]

The $x$-intercept is $\square$. (Type an integer.)

Answer

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Answer

Final Answer: The x-intercept is \(\boxed{18}\).

Steps

Step 1 :The x-intercept is the point where the graph of the equation crosses the x-axis. At this point, the y-coordinate is 0.

Step 2 :So, to find the x-intercept, we need to set y = 0 in the equation and solve for x.

Step 3 :Substitute y = 0 into the equation 2x + 6y = 36, we get 2x = 36.

Step 4 :Solving for x, we get x = 18.

Step 5 :Final Answer: The x-intercept is \(\boxed{18}\).

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