SOLUTION: Write a slope-intercept equation for a line that passes through (3,-9) and (-1,3).
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Question 473562: Write a slope-intercept equation for a line that passes through (3,-9) and (-1,3).
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 )
Note: )
is the first point . So this means that and .
Also, )
is the second point . So this means that 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
Distribute
Multiply
Subtract 9 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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