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teo rides his bike in a straight line from his location, perpendicular …

Question

teo rides his bike in a straight line from his location, perpendicular to path a, and luke rides his bike in a straight line from his location, perpendicular to path b. what are the coordinates of the point where their routes meet? their routes meet at the point (simplify your answer. type an ordered - pair using integers or fractions.)

Explanation:

Step1: Identify coordinates of Theo and Luke

Theo is at (0, 2) and Luke is at (10, 8).

Step2: Determine the intersection point

The perpendicular - line from Theo to path A and from Luke to path B will intersect at the point where the x - coordinate is the x - coordinate of Luke (10) and the y - coordinate is the y - coordinate of Theo (2).

Answer:

(10, 2)