A line has slope 3 and passes through (2,-1). What is its equation in slope-intercept form?

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Multiple Choice

A line has slope 3 and passes through (2,-1). What is its equation in slope-intercept form?

Explanation:
Use the slope-intercept form y = mx + b. The slope is 3, so y = 3x + b. Since the line passes through (2, -1), substitute x = 2 and y = -1: -1 = 3(2) + b, which gives -1 = 6 + b, so b = -7. The equation is y = 3x - 7. You can verify by plugging x = 2: y = 3(2) - 7 = -1, which matches the given point.

Use the slope-intercept form y = mx + b. The slope is 3, so y = 3x + b. Since the line passes through (2, -1), substitute x = 2 and y = -1: -1 = 3(2) + b, which gives -1 = 6 + b, so b = -7. The equation is y = 3x - 7. You can verify by plugging x = 2: y = 3(2) - 7 = -1, which matches the given point.

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