Which expression represents the slope-intercept form of a line through (0, -1) with slope -3?

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Prepare for the KTEST 6 2027 Test with our interactive quiz featuring flashcards and multiple-choice questions. Each question includes hints and explanations, making it easier to get ready and succeed in your exam.

Multiple Choice

Which expression represents the slope-intercept form of a line through (0, -1) with slope -3?

Explanation:
In slope-intercept form, a line is written as y = mx + b, where m is the slope and b is the y-intercept. The line passes through (0, -1), so its y-intercept is -1. The given slope is -3, so m = -3 and b = -1. Putting these together gives y = -3x - 1. This also checks out when x = 0: y = -1, matching the given point. The other expressions would either have the wrong slope or the wrong intercept, so they don’t represent this line.

In slope-intercept form, a line is written as y = mx + b, where m is the slope and b is the y-intercept. The line passes through (0, -1), so its y-intercept is -1. The given slope is -3, so m = -3 and b = -1. Putting these together gives y = -3x - 1. This also checks out when x = 0: y = -1, matching the given point. The other expressions would either have the wrong slope or the wrong intercept, so they don’t represent this line.

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