Entry 2: How to find linear equations.
Linear equations are, simply the Y=Mx+b formula for graphing a line. This is commonly referred  to as he slope intercept form, because the equations states both the slope and the Y intercept.
The "M" gives the slope, and the "B" gives the "Y" intercept.
Here's an example:

• Find the equation of the straight line that has slope m = 4
  and passes through the point (–1, –6).

In this instance, they have given you the value of the slope. Specifically, "M=4". So at this poin, you can plug that into the equation as: Y=4x+b

They have also given you an X and Y value, -1 and -6 respectively. In the slope intercept form of a straight line, You have Y, M, X and B, all you need to do now is plug in what they have given you for the slope and the X,Y from the given point, and solve for B. like this:

Y=mx+b

(-6)=(4)(-1)+b

-6=-4+b

-2=b

 Congratulations! You just found the linear equation!! But what if they don't give you the slope?

Find the equation of a line that passes through the points (-2,4) (1,2) 

Well,this is where you would use the slope formula! The slope formula is an easy method to find the slope of a line.

If you have two points on a straight line, you can always, ALWAYS find the slope with this method.

     

After plugging in and solving, the slope you should have gotten is -2/3

Now that you have the slope AND two points,you can solve for the equation. Lets use point (-2,4)

Y=mx+b

4=(2/3) -(2)+b

4=4/3+b

12/3-4/3=b

B=8/3

So, y=(-2,3)x+8/3

The answer is the same no matter which point you use. Now lets practice!

With this equation Y=5/3x+2, graph the line using the same method above.

This should have been simple, because you have the full equation, and all you need to do is graph it.