College Math Placement Practice Test

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Prepare for your College Math Placement Test with our expert-crafted quiz! Practice with diverse question formats and detailed explanations to enhance your math skills and boost your confidence.

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What is the slope of the line represented by the equation y = 3x + 10?

-3
3
1/3
-1/3

The correct answer is: 3

The equation given, y = 3x + 10, is in the slope-intercept form of a linear equation, which is expressed as y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the coefficient of x is 3. This means that the slope of the line is 3. The slope indicates the rate at which y changes for a unit change in x; specifically, for every increase of 1 in x, y increases by 3. This demonstrates that the line rises steeply when graphed. Understanding the structure of the equation is crucial, as it clearly defines the relationship between the variables x and y, which in turn informs the direction and steepness of the line represented.