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.

Practice this question and more.

What is the slope-intercept form of a linear equation?

y = mx + b
y = ax² + bx + c
y = m(x - x1) + y1
y = A + Bx

The correct answer is: y = mx + b

The slope-intercept form of a linear equation is represented as y = mx + b, where 'm' stands for the slope of the line and 'b' represents the y-intercept, which is the point where the line crosses the y-axis. This format is particularly useful because it immediately provides information about the steepness and direction of the line (positive or negative slope) as well as where it intersects the y-axis. In this form, for every increase in x by 1 unit, y changes by 'm' units, making it straightforward to graph the equation. Knowing the slope and y-intercept allows one to quickly sketch the line or understand its behavior without needing additional calculations. The other choices represent different types of equations: one is a quadratic equation (which features a squared term), another is a point-slope form (used for writing equations based on a given point and slope), and the last provides a linear equation but lacks the standard slope-intercept format.