In the slope-intercept form y = mx + b, what does m represent?

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

In the slope-intercept form y = mx + b, what does m represent?

Explanation:
The number m in y = mx + b is the slope. It tells how steep the line is and how y changes when x changes. Specifically, for a 1-unit increase in x, y changes by m units. If m is positive, the line rises as you go to the right; if negative, it falls; if m is zero, the line is horizontal. The y-intercept is b, where the line crosses the y-axis at (0, b). The x-intercept is where the line crosses the x-axis, found by setting y to 0 and solving for x. In standard form, Ax + By = C, the slope is -A/B (assuming B ≠ 0), not the coefficient in front of x there. So the multiplier of x in y = mx + b is the slope.

The number m in y = mx + b is the slope. It tells how steep the line is and how y changes when x changes. Specifically, for a 1-unit increase in x, y changes by m units. If m is positive, the line rises as you go to the right; if negative, it falls; if m is zero, the line is horizontal. The y-intercept is b, where the line crosses the y-axis at (0, b). The x-intercept is where the line crosses the x-axis, found by setting y to 0 and solving for x. In standard form, Ax + By = C, the slope is -A/B (assuming B ≠ 0), not the coefficient in front of x there. So the multiplier of x in y = mx + b is the slope.

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