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Question: If the line passing through the points (4, 3) and (2, l) is perpendicular to the line y = 2x + 3, th...

If the line passing through the points (4, 3) and (2, l) is perpendicular to the line y = 2x + 3, then l is equal to

A

4

B

–4

C

1

D

–1

Answer

4

Explanation

Solution

Slope (m1) =λ32\frac { \lambda - 3 } { - 2 }; slope (m2) of line =2;

\ m1 m2 = –1 Žλ32\frac { \lambda - 3 } { - 2 }× 2 = –1; l = 4