The slope of the line below is 4. Which of the following is the point-slope form of the line?A.y + 4 = 4(x + 3)B.y + 4 = -4(x + 3)C.y - 4 = 4(x - 3)D.y - 4 = -4(x - 3)SUBMITarrow_backPREVIOUS
Question
The slope of the line below is 4. Which of the following is the point-slope form of the line?A.y + 4 = 4(x + 3)B.y + 4 = -4(x + 3)C.y - 4 = 4(x - 3)D.y - 4 = -4(x - 3)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 of the line, and (x1, y1) is a point on the line.
Given that the slope of the line is 4, the equation of the line should have 4 multiplying the x term.
Looking at the options:
A. y + 4 = 4(x + 3) B. y + 4 = -4(x + 3) C. y - 4 = 4(x - 3) D. y - 4 = -4(x - 3)
We can eliminate options B and D because they have -4 multiplying the x term, not 4.
Between options A and C, we don't know a specific point on the line, but we do know that the y-coordinate of the point in the equation should be subtracted from y (based on the point-slope form), not added to it.
So, the correct answer is C. y - 4 = 4(x - 3).
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