SOLUTION: 1.Points A(0,0),B(5,8) and C(10,4) lie in the coordinate plane.What is the ratio of the slope of AB to the slope of AC? (A)-1/2 (B)-1/4 (C)1/2 (D)2 (E)4 Please help and thank

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 1.Points A(0,0),B(5,8) and C(10,4) lie in the coordinate plane.What is the ratio of the slope of AB to the slope of AC? (A)-1/2 (B)-1/4 (C)1/2 (D)2 (E)4 Please help and thank      Log On

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Question 476333: 1.Points A(0,0),B(5,8) and C(10,4) lie in the coordinate plane.What is the ratio of the slope of AB to the slope of AC?
(A)-1/2
(B)-1/4
(C)1/2
(D)2
(E)4
Please help and thank you so much for your help!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

A(0,0),B(5,8) and C(10,4)
What is the ratio of the slope of AB to the slope of AC


the slope of AB
Solved by pluggable solver: Finding the slope


Slope of the line through the points (0, 0) and (5, 8)



Answer: Slope is m+=+8%2F5



the slope of AC
Solved by pluggable solver: Finding the slope


Slope of the line through the points (0, 0) and (10, 4)



Answer: Slope is m+=+2%2F5



the ratio is: m=8%2F5 m1=2%2F5
-> m%2Fm1=%288%2F5%29%2F%282%2F5%29
m%2Fm1=%288%2A5%29%2F%285%2A2%29
m%2Fm1=%28cross%288%294%2Across%285%29%29%2F%28Cross%285%29%2Across%282%29%29

m%2Fm1=4..............(E)4