What is the point-slope form of a line with slope -3 that contains the point (10, -1)?A.y + 1 = -3(x - 10)B.y + 1 = 3(x + 10)C.x + 1 = -3(y - 10)D.y + 1 = 3(x - 10)
Question
What is the point-slope form of a line with slope -3 that contains the point (10, -1)?A.y + 1 = -3(x - 10)B.y + 1 = 3(x + 10)C.x + 1 = -3(y - 10)D.y + 1 = 3(x - 10)
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 is -3 and the point is (10, -1), we can substitute these values into the formula:
y - (-1) = -3(x - 10)
Simplifying this gives:
y + 1 = -3(x - 10)
So, the correct answer is A.y + 1 = -3(x - 10).
Similar Questions
What is the point-slope form of a line with slope 2 that contains the point (1, 3)?A.y - 3 = 2(x - 1)B.y - 1 = 2(x - 3)C.y + 3 = 2(x + 1)D.y + 3 = -2(x - 2)
A line passes through the points (–2,–10) and (3,5). Write its equation in slope-intercept form.
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)
Find the slope of the line that contains the points (-9, -1) and (-5, -1).
Instructions: Write the equation of the line in Point-Slope Form given the information below.Slope =−2=−2Point =(1,−1)=(1,−1)Point-Slope Form
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