SOLUTION: I was told to write the slope-intecept form of the equation for the line. Then I was given a graph and 4 choices for my answer. The graph has points at (3,0) and (-3,-2) the slop

Question 367342: I was told to write the slope-intecept form of the equation for the line. Then I was given a graph and 4 choices for my answer. The graph has points at (3,0) and (-3,-2) the slope I think is 3
Found 3 solutions by jim_thompson5910, rfer, Alan3354:
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

Distribute

Multiply

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

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

Also, feel free to check out my tutoring website

Jim
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
slope m=3
y=3x-1
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I was told to write the slope-intecept form of the equation for the line. Then I was given a graph and 4 choices for my answer. The graph has points at (3,0) and (-3,-2) the slope I think is 3
-------------
The slope is diffy/diffx = -2/-6
slope m = 1/3
-------------
Do it like this:
Given 2 points example.
Find the equation of the line thru the points (2,1) and (3,5)
---------------------
This is a 2 step process. First find the slope of the line thru the points.
slope, m = diffy/diffx
m = (5-1)/(3-2)
m = 4
---------
Now use y = mx + b with either point to find b, the y-intercept.
y = mx + b
5 = 4*3 + b
b = -7
-------
y = mx + b
y = 4x - 7 is the answer.
------------------------
Another approach using determinants:
|x y 1|
|2 1 1| = 0
|3 5 1|
--------
x(1-5) - y(2-3) + 1(10-3) = 0
-4x + y + 7 = 0
y = 4x - 7
---------
For further assistance, or to check your work, email me via the thank you note
or at Moral Loophole@aol.com
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