SOLUTION: find the equation of a line the points are (1,4) and (3,10)

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Question 344195: find the equation of a line the points are (1,4) and (3,10) write the equation of a line that is parellel to the previous line and through the origin graph the two equations
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%2810-4%29%2F%283-1%29=6%2F2=3
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y=3x%2Bb
Use either point to find b
4=3%281%29%2Bb
b=1
highlight%28y=3x%2B1%29
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A parallel line has an identical slope.
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y=3x%2Bb
Use the origin (0,0) to solve for b.
0=3%280%29%2Bb
b=0
highlight%28y=3x%29
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