SOLUTION: find the slope of the line that passes through the given points. Ok are book a little messed up. we are learning about SLopes in Algebra andGeometry A(5,8) B(7,11) E(-1,-2), F

Algebra ->  Linear-equations -> SOLUTION: find the slope of the line that passes through the given points. Ok are book a little messed up. we are learning about SLopes in Algebra andGeometry A(5,8) B(7,11) E(-1,-2), F      Log On


   

Question 252733: find the slope of the line that passes through the given points.
Ok are book a little messed up. we are learning about SLopes in Algebra andGeometry
A(5,8) B(7,11)
E(-1,-2), F(-6,-4)
if you could please help me. I need a lot of help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's find the slope of the line through the points A(5,8) and B(7,11)

Note: is the first point . So this means that x%5B1%5D=5 and y%5B1%5D=8.
Also, is the second point . So this means that x%5B2%5D=7 and y%5B2%5D=11.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%2811-8%29%2F%287-5%29 Plug in y%5B2%5D=11, y%5B1%5D=8, x%5B2%5D=7, and x%5B1%5D=5


m=%283%29%2F%287-5%29 Subtract 8 from 11 to get 3


m=%283%29%2F%282%29 Subtract 5 from 7 to get 2


So the slope of the line that goes through the points and is m=3%2F2


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Now let's find the slope of the line through the points E(-1,-2) and F(-6,-4)


Note: is the first point . So this means that x%5B1%5D=-1 and y%5B1%5D=-2.
Also, is the second point . So this means that x%5B2%5D=-6 and y%5B2%5D=-4.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-4--2%29%2F%28-6--1%29 Plug in y%5B2%5D=-4, y%5B1%5D=-2, x%5B2%5D=-6, and x%5B1%5D=-1


m=%28-2%29%2F%28-6--1%29 Subtract -2 from -4 to get -2


m=%28-2%29%2F%28-5%29 Subtract -1 from -6 to get -5


m=2%2F5 Reduce


So the slope of the line that goes through the points and is m=2%2F5