Determine the $x$-intercept of the line:
\[
4 x-2 y=8
\]

Enter your answer as an ordered pair.

Answer

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Answer

So, the x-intercept of the line is the point (2, 0).

Steps

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

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

Step 3 ：The equation of the line is: $4x - 2y = 8$

Step 4 ：Substitute y = 0 into the equation: $4x - 2(0) = 8$, which simplifies to $4x = 8$

Step 5 ：Divide both sides by 4 to solve for x: $x = \frac{8}{4}$

Step 6 ：$\boxed{x = 2}$

Step 7 ：So, the x-intercept of the line is the point (2, 0).