SOLUTION: Find an equation of the line contaiing the given pair of points. Express your answer in the form x=a, y=b, or y=mx=b. (-1,-1) and (4,4) What is an equation of the line? y

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Question 160008: Find an equation of the line contaiing the given pair of points. Express your answer in the form x=a, y=b, or y=mx=b.
(-1,-1) and (4,4)
What is an equation of the line?
y= _____

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

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


Start with the slope formula.


Plug in , , , and


Subtract from to get


Subtract from to get


Reduce


So the slope of the line that goes through the points and is


Now let's use the point slope formula:


Start with the point slope formula


Plug in , , and


Rewrite as


Rewrite as


Distribute


Multiply


Subtract 1 from both sides.


Combine like terms.


Remove the trailing zero


Simplify


So the equation that goes through the points and is


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

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