Algebra Practice Test

Question: 1 / 400

What is the x-intercept of the line given by the equation 2x + y = 6?

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3

To find the x-intercept of the line given by the equation \(2x + y = 6\), you need to determine the point where the line crosses the x-axis. At the x-intercept, the value of \(y\) is always 0.

Start by substituting \(y = 0\) into the equation:

\[

2x + 0 = 6

\]

This simplifies to:

\[

2x = 6

\]

Next, solve for \(x\) by dividing both sides by 2:

\[

x = \frac{6}{2} = 3

\]

Thus, the x-intercept is 3. This means that when \(y = 0\), \(x\) has the value of 3, indicating the point on the graph where the line crosses the x-axis is (3, 0). This is why 3 is the correct answer in this situation.

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