What is the point-slope form of a line with slope -5 that contains the point (2, -1)?A.y + 1 = 5(x + 2)B.y - 1 = -5(x - 2)C.y + 1 = -5(x - 2)D.y - 1 = 5(x + 2)
Question
What is the point-slope form of a line with slope -5 that contains the point (2, -1)?A.y + 1 = 5(x + 2)B.y - 1 = -5(x - 2)C.y + 1 = -5(x - 2)D.y - 1 = 5(x + 2)
Solution
The point-slope form of a line is given by the formula y - y1 = m(x - x1), where m is the slope of the line, and (x1, y1) is a point on the line.
Given that the slope m = -5 and the point (x1, y1) = (2, -1), we can substitute these values into the formula:
y - (-1) = -5(x - 2)
Simplifying this gives:
y + 1 = -5(x - 2)
So, the correct answer is C. y + 1 = -5(x - 2).
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