Slope + You 
  =
FUN!!!

EASY!!!!

But how do you find the slope of a line with only a graph??? 

First, choose two points from the graph that are located on the line. For example, use the numbers (3,6) and (8,2). Now, to find the slope, there is a simple formula we must use (Y2-Y1) divided by  (X2 -X1). So, take (2-6) divided by (8-3). In doing this, the product is -4/5...AND THERE'S YOUR SLOPE!!!!

But now that I have the slope, how do I use it in an equation?

The equation of a line is put into the form y=mx+b, "m" being slope and "b" being the y-intercept. Putting an equation in this form is called slope-intercept form. To find this, substitue numbers into the equation to find "b", using the slope and (x,y) coordinants above. The problem would go as follows:

EASY!!!!!

      6=(-4/5)3+b 
      6=(-4/5)(15/5)+b
6= -.8+3
     6=2.2+b        

                    -2.2=-2.2                                  
  3.8=b
y-intercept= 3.8

To conclude, the final equation would look like this:
y=-4/5x+3.8

   FUN WITh LITERAL EQUATIONS!!!!! 

Let's use the formula for finding the slope of a line...hmmm...yes...

the equation for slope is y=mx+b....we are going to solve for M.....

It's all about isolation...
Y=mx+b  
-b=-b
y -b=  mx
x       x
y-b=m
                     x

ANd that's it!!!!!!!!!


LEt's solve an equation...YAY!!!!!
y-3=4(3-2)
First, distribute the 4(3-2) to get...
y-3=12-8
next, simplify 12-8 to get...
y-3=4
finally, add 3 to both sides to get your answer...
y=7

Like in the problem above, it's all about isolation...

Now that wasn't too difficult, now was it???

   

 

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