SOLUTION: Can you show me a graph for the slope of these lines? (a) 1/2 (b) -2 (c) -1/2 (d) 2

Algebra ->  Graphs -> SOLUTION: Can you show me a graph for the slope of these lines? (a) 1/2 (b) -2 (c) -1/2 (d) 2      Log On


   

Question 122639: Can you show me a graph for the slope of these lines?
(a) 1/2
(b) -2
(c) -1/2
(d) 2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Can you show me a graph for the slope of these lines?
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slope is change in y over change in x.
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(a) 1/2
Put your pencil on (0,0)
Since 2 in in the denominator move your pencil 2 to the right
then, since 1 is in the numerator, move your pencil one up:
put a dot at that point. Draw a line thru (0,0) (2,1)
That is a line with slope = 1/2:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F2%29x%29
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(b) -2= -2/1
Start at (0,0); move 1 to the right; move 2 down
Draw a line thru (0,0) (1,-2)
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%29
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(c) -1/2
Start at (0,0); move 2 to the right; move 1 down
Draw a line thru (0,0) (2,-1)
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%29
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(d) 2 = 2/1
Start at (0,0); move 1 to the right; move 2 up
Draw a line thru (0,0) (1,2)
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Cheers,
Stan H.