SOLUTION: write an equation of the line that passes through each pair of point 0,-4),(5-4)

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Question 254674: write an equation of the line that passes through each pair of point
0,-4),(5-4)
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=0 and y%5B1%5D=-4.
Also, is the second point . So this means that x%5B2%5D=5 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--4%29%2F%285-0%29 Plug in y%5B2%5D=-4, y%5B1%5D=-4, x%5B2%5D=5, and x%5B1%5D=0


m=%280%29%2F%285-0%29 Subtract -4 from -4 to get 0


m=%280%29%2F%285%29 Subtract 0 from 5 to get 5


m=0 Reduce


So the slope of the line that goes through the points and is m=0


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--4=0%28x-0%29 Plug in m=0, x%5B1%5D=0, and y%5B1%5D=-4


y%2B4=0%28x-0%29 Rewrite y--4 as y%2B4


y%2B4=0x%2B0%280%29 Distribute


y%2B4=0x%2B0 Multiply


y=0x%2B0-4 Subtract 4 from both sides.


y=0x-4 Combine like terms.


y=-4 Simplify


So the equation that goes through the points and is y=-4


Notice how the graph of y=-4 goes through the points and . So this visually verifies our answer.
Graph of y=-4 through the points and