In the slope-intercept form y = 3x + 5, what is the y-intercept?

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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 = 3x + 5, what is the y-intercept?

Explanation:
In slope-intercept form, y = mx + b, the y-intercept is the value where the line crosses the y-axis, which is the constant term b (the y-value when x = 0). For y = 3x + 5, if you set x to 0, you get y = 3(0) + 5 = 5. So the line crosses the y-axis at y = 5, i.e., the y-intercept is 5 (the point (0, 5)). The 3 is the slope, showing how steeply the line rises, and doesn’t determine the intercept.

In slope-intercept form, y = mx + b, the y-intercept is the value where the line crosses the y-axis, which is the constant term b (the y-value when x = 0). For y = 3x + 5, if you set x to 0, you get y = 3(0) + 5 = 5. So the line crosses the y-axis at y = 5, i.e., the y-intercept is 5 (the point (0, 5)). The 3 is the slope, showing how steeply the line rises, and doesn’t determine the intercept.

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