What is the point-slope form of a line with slope that contains the point (-2, 1)?A.y + 1 = (x + 2)B.y + 1 = (x - 2)C.y - 1 = (x + 2)D.y - 1 = (x - 2)SUBMITarrow_backPREVIOUS
Question
What is the point-slope form of a line with slope that contains the point (-2, 1)?A.y + 1 = (x + 2)B.y + 1 = (x - 2)C.y - 1 = (x + 2)D.y - 1 = (x - 2)SUBMITarrow_backPREVIOUS
Solution
The point-slope form of a line is given by the formula y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Given that the slope m is not specified in the question, let's assume it as 'm'. The point given is (-2, 1), so x1 = -2 and y1 = 1.
Substituting these values into the formula, we get:
y - 1 = m(x - (-2))
Simplifying this, we get:
y - 1 = m(x + 2)
So, the point-slope form of the line is y - 1 = m(x + 2), which corresponds to option C.
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