MATH SOLVE

4 months ago

Q:
# A, B, C, and D have the coordinates (-8,1), (-2,4), (-3, -1), and (-6,5) respectively. which sentence about the points is true?A. A, B,C, AND D LIE ON THE SAME LINEB. LINE AB AND LINE CD ARE PERPENDICULARC. LINE AB AND LINE CD ARE PARALLEL LINESD. LINE AB AND LINE CD ARE INTERSECTING LINES BUT ARE NOT PERPENDICULARE. LINE AC AND LINE BD ARE PARALLEL LINES

Accepted Solution

A:

Answer:Option B is correct.Step-by-step explanation:To check if the lines are parallel or perpendicular, we need to find the slope of lines AB and CDA=(-8,1), B= (-2,4), C= (-3, -1), and D= (-6,5) Slope of AB = y₂-y₁/x₂-x₁Slope of AB = 4-1/-2-(-8)Slope of AB = 3/-2+8Slope of AB = 3/6Slope of AB = 1/2Slope of CD = y₂-y₁/x₂-x₁Slope of CD = 5+1/-6-(-3)Slope of CD = 6/-6+3Slope of CD = 6/-3Slope of CD = -2Lines are parallel if Slope of AB = Slope of CDLines are perpendicular if Slope of Ab = -1/Slope of CDSo, Slope of AB = 1/2Slope of CD = -2So, LINE AB AND LINE CD ARE PERPENDICULAROption B is correct.