SOLUTION: (-4,2) and (2,4)I need to write the equation of each line passing through the given pair of points Please explain this Sandy new student

Question 916712: (-4,2) and (2,4)I need to write the equation of each line passing through the given pair of points
Please explain this
Sandy new student
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 2 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

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim
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