Question

AB formed by (-3, 8) and (2, 3)
CD formed by (-4, 6) and (-8, 2)
A) Parallel
B Perpendicular
C) Neither

Answer 1

Answer:  B) Perpendicular

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Explanation:

Use the slope formula to find the slope of AB

m = (y2-y1)/(x2-x1)

m = (3-8)/(2-(-3))

m = (3-8)/(2+3)

m = -5/5

m = -1

The slope of line AB is -1

Do the same for the points C and D

m = (y2-y1)/(x2-x1)

m = (2-6)/(-8-(-4))

m = (2-6)/(-8+4)

m = (-4)/(-4)

m = 1

The slope of line CD is 1

The two slopes -1 and 1 multiply to -1, which indicates AB is perpendicular to CD. The two lines form a 90 degree angle.