SOLUTION: Find an equation of the line containing the given pair of points (-1,-3) and (-5,-6). I have come up with this -6-(-3) ________

SOLUTION: Find an equation of the line containing the given pair of points (-1,-3) and (-5,-6). I have come up with this -6-(-3) _________ -5 -(-1)

Question 236555: Find an equation of the line containing the given pair of points (-1,-3) and (-5,-6).
I have come up with this
-6-(-3)
_________
-5 -(-1)
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

Rewrite as

Distribute

Multiply

Subtract 3 from both sides.

Combine like terms. note: If you need help with fractions, check out this solver.

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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