Ace the GED Math Test 2025 – Conquer Numbers and Unlock Your Future!

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What is the slope of a line represented by the equation y = 2x + 1?

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The slope of a line can be identified from the equation of the line in slope-intercept form, which is given by the formula y = mx + b. In this format, 'm' represents the slope of the line, and 'b' represents the y-intercept.

In the equation y = 2x + 1, the coefficient of x is 2. This means that the slope of the line is 2. This indicates that for every unit increase in the x-value, the y-value increases by 2 units. Understanding slope is crucial in analyzing linear relationships because it tells us how steep the line is and the direction of the line (upward or downward).

The other options do not represent the slope as derived from the equation provided. The slope is specifically tied to the coefficient in front of the x variable, which in this case is 2, making it the correct answer. Recognizing the slope in this way allows for a clear understanding of how steeply a line rises or falls on a graph.

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