Question

If the line joining (-5,k) and (3,10) is perpendicular to the line joining (1,2) and (-2,5) find the value K?

Answer 1

Answer:

k = -4

Step-by-step explanation:

let A(-5,k) B(3,10) C(1,2) D(-2,5)

the slope of AB is perpendicular to the slope CD

slope of CD = (5-1)/(-2-1)

= 4/-3

= -4/3

slope of AB = 3/4

(10-k)/(3+5) =3/4

4(10-k) =3 x 8

40+4k = 24

4k = -40+24

4k = -16

k = -4

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