A line has slope -2 and passes through (0,4). What is its equation?

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Study for the Praxis 5165 Mathematics Test. Review with flashcards and multiple-choice questions, each with hints and explanations. Prepare effectively for success!

Multiple Choice

A line has slope -2 and passes through (0,4). What is its equation?

Explanation:
Use the slope-intercept form y = mx + b. The slope is -2, so m = -2. Since the line passes through (0, 4), when x = 0 the equation gives y = b = 4. Therefore the equation is y = -2x + 4. This matches a line with slope -2 and y-intercept 4, so it passes through (0,4). The other forms change either the intercept or the slope: y = -2x - 4 would have intercept -4; y = 2x + 4 has the wrong slope; y = -2x would give intercept 0.

Use the slope-intercept form y = mx + b. The slope is -2, so m = -2. Since the line passes through (0, 4), when x = 0 the equation gives y = b = 4. Therefore the equation is y = -2x + 4. This matches a line with slope -2 and y-intercept 4, so it passes through (0,4). The other forms change either the intercept or the slope: y = -2x - 4 would have intercept -4; y = 2x + 4 has the wrong slope; y = -2x would give intercept 0.

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