SOLUTION: Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b, (-6,-6) and (5,5) what is an equation of the line? I'm having

Question 236462: Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b, (-6,-6) and (5,5) what is an equation of the line? I'm having a hard time understanding it, can you please help me slove and understand the equation??
Thank you! :))
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 6 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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