SOLUTION: My problem is Find the equation of the line that contains the point (-2,3)(4,2). I'm pretty sure this is a simple problem..I've just forgotten where to start. Help would be greatl

Question 152519: My problem is Find the equation of the line that contains the point (-2,3)(4,2).
I'm pretty sure this is a simple problem..I've just forgotten where to start. Help would be greatly appreciated. Thanks.
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 , , , , ,

Subtract from to get

Subtract from to get

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 3 to 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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