Math  /  Geometry

QuestionFind point D(x,y)D(x,y) so that line ABAB is perpendicular to line CDCD with A(2,3)A(2,3), B(8,7)B(8,7), and options for DD.

Studdy Solution
For option B, (4,4)(4,4)y2=32×(46)+1=4y2 = -\frac{3}{2} \times (4 -6) +1 =4This matches the y-coordinate given in the option, so option B is the solution.
The coordinate pair that makes line AB perpendicular to line CD is (4,4)(4,4).

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