if the line L1 passes through(4,0) and(0,7)and L2 passes to(4,-5)and(1,10) find the angle fromL1-L2?

Question

if the line L1 passes through(4,0) and(0,7)and L2 passes to(4,-5)and(1,10) find the angle from L1-L2?

Answer 1

Line L1
m1 = tan a = (- 7 / 4)

Line L2
m2 = tan b = (-15 / 3) = (- 5)

Let θ = angle between the lines.
tan θ = (m1 - m2) / (1 + m1 m2)
tan θ = (13 / 4) / (1 + 35 / 4)
tan θ = (13 / 4) / (39 / 4)
tan θ = ( 13 / 39 ) = 1 / 3
θ = 18.4°

Answer 2

7-0
-----
0-4

Slope of L1 = -7/4

10+5
--------
1-4

Slope of L2 = -5

That should help you out....

Answer 3

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