6) Line segment AB and line segment CD lie in thexy-coordinate plane. Line segme

Question

6) Line segment AB and line segment CD lie in thexy-coordinate plane. Line segment AB has a slope of 1/2 and ay-intercept of -3. Line segment CD intercepts the origin and isperpendicular to line segment AB. What is the slope of CD? a. 2 b. 1/2 c. 0 d. -1/2 e. -2 6) Line segment AB and line segment CD lie in thexy-coordinate plane. Line segment AB has a slope of 1/2 and ay-intercept of -3. Line segment CD intercepts the origin and isperpendicular to line segment AB. What is the slope of CD? a. 2 b. 1/2 c. 0 d. -1/2 e. -2

Explanation / Answer

Use the point-slope equation to find equation of AB which hasslope m=1/2 and intercept b=-3. Hence y=(1/2)x-3 CD is perpendicular to AB hence its slope say m2must satisfy the relationship that (1/2)(m2)=-1 Therefore m2=-2 e is the answer

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