SOLUTION: Find the equation for a line which passes through the points (-3,9) and (1,1). Write the equation in slope-intercept form. Please show work.
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Question 609962: Find the equation for a line which passes through the points (-3,9) and (1,1). Write the equation in slope-intercept form. Please show work.
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
Add 9 to both sides.
Combine like terms.
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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