SOLUTION: A line contains the points C (4 1/2, -3) and D (6 1/2, 6) What is the slpe of all lines perpendicular to CD?

Question 53749: A line contains the points C (4 1/2, -3) and D (6 1/2, 6) What is the slpe of all lines perpendicular to CD?
Answer by rchill(405) (Show Source): You can put this solution on YOUR website!
You first need to determine the slope of the two points. Just substitute into the slope formula and we get . That reduces to , or . The slope of any line perpendicular to that slope is just the reciprical and change the sign. So, that means a perpendicular line to the one containing your points is .
RELATED QUESTIONS
a) what is the slpe of any line that is parallel to the line through (-3,-4) and (5,-1) (answered by mangopeeler07)

Line AB contains points A (0, 0) and B (2, 2). Line CD contains points C (3, 1) and D (5, (answered by Alan3354)

we just started coordinate geometry proofs with slope, midpoint, and distance. i have the (answered by solver91311)

if ab contains the points 6 -2 and 3 -6 what is the slope of a line perpendicular to... (answered by ReadingBoosters)

The line CD is 6 inches apart from line AB and AB is parallel to CD. Point Knis 4 inches... (answered by MathLover1)

Line AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (1, 4). Lines AB... (answered by Alan3354,richwmiller)

if ab contains the points 6 -2 and -3 166 what is the slope of a line perpendicular to... (answered by ReadingBoosters)

A line contains points (2, -2) and (-4, 1). Another line graphed in the same coordinate... (answered by Fombitz)

Find the value of K so that the two lines are perpendicular. Line one contains the points (answered by htmentor,math_tutor2020)