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What is the x-intercept of the graph of the linear equation y = 2x + 4?

A) (0, 4)
B) (-2, 0)
C) (-4, 0)
D) (2, 0)

1 Answer

7 votes

Final answer:

To find the x-intercept of the linear equation y = 2x + 4, set y to 0 and solve for x, resulting in the point (-2, 0), which is choice B.

Step-by-step explanation:

The x-intercept of a graph is the point where the graph crosses the x-axis. For the linear equation y = 2x + 4, the x-intercept can be found by setting y to zero and solving for x. Setting y to zero gives us the equation 0 = 2x + 4. To find the value of x, we subtract 4 from both sides of the equation to get -4 = 2x. Then we divide both sides by 2 to find x = -2. Therefore, the x-intercept of the graph is the point (-2, 0), which corresponds to answer choice B.

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