SOLUTION: How do I find the slope between the points (-4,-1) and (-2,8) Then it asks me to write a point slope equation for the line

Question 924328: How do I find the slope between the points (-4,-1) and (-2,8)
Then it asks me to write a point slope equation for the line
Found 2 solutions by josgarithmetic, jim_thompson5910:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The meaning of slope is vertical change divided by horizontal change. Using the formula for slope as described, evaluate .

What is the point-slope form equation for a line?
This comes from the formula for slope.
Unknown point (x,y);
Known point (u,v) on the line;
Slope is . Multiply both sides by the denominator of the right side,

, the point-slope form of a line.

You have two known, given points for the line that you want to find.

You should have little or no trouble continuing and finishing the question.
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

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

and you're done. The equation is in point slope form and it is simplified.

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Let me know if that helps or not. Thanks.

If you need more help, feel free to email me at jim_thompson5910@hotmail.com

My Website: http://www.freewebs.com/jimthompson5910/home.html

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