SOLUTION: Hi, I have 6 problems that I just cant seem to get. I've been all around sites to see if any could help me with them but I couldnt find one until I came here. So my questions are:

Question 115201: Hi, I have 6 problems that I just cant seem to get. I've been all around sites to see if any could help me with them but I couldnt find one until I came here.
So my questions are:
1. (-3,1), m=2
2. (-6,1), m=4
3. (10,4), m is undefined
4. (6,5), m=0
5. (4,0), m= -1
6. (9,-12), m=-1/2
My teacher just gave my class this homework today and didn't explain it at all. So I'm hoping you can.
Thanks So Much
Em
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There are a lot of problems here. So I'll do a few to help you get started
#1

If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---
where is the slope, and

is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Rewrite as

Distribute

Multiply and to get

Add 1 to both sides to isolate y

Combine like terms and to get
------------------------------------------------------------------------------------------------------------
Answer:

So the equation of the line with a slope of which goes through the point (,) is:

which is now in form where the slope is and the y-intercept is

Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver )

Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.

#2

If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---
where is the slope, and

#3

If you want to find the equation of line with an undefined slope which goes through the point (,), simply draw a vertical line through :

Graph of

So this simply means that the equation of the line is (notice y is not in the equation. So this means this equation is not in slope-intercept form)

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