SOLUTION: (-2,0),(0,4)

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Question 584971: (-2,0),(0,4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.
Also, is the second point . So this means that x%5B2%5D=0 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=%284-0%29%2F%280--2%29 Plug in y%5B2%5D=4, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2


m=%284%29%2F%280--2%29 Subtract 0 from 4 to get 4


m=%284%29%2F%282%29 Subtract -2 from 0 to get 2


m=2 Reduce


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


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y-0=2%28x--2%29 Plug in m=2, x%5B1%5D=-2, and y%5B1%5D=0


y-0=2%28x%2B2%29 Rewrite x--2 as x%2B2


y-0=2x%2B2%282%29 Distribute


y-0=2x%2B4 Multiply


y=2x%2B4 Simplify


So the equation that goes through the points and is y=2x%2B4


Notice how the graph of y=2x%2B4 goes through the points and . So this visually verifies our answer.
Graph of y=2x%2B4 through the points and