~How to write a linear equation- Set up the problem, y=mx+b
 ie: A teacher's base salary is $18,000. They earn a 4% commision on tutoring per hour. How long must she tutor to earn $55,000 total? 
-Total income=55,000 (dollars)
-Total number of hours=x (variable)
-Base salary=18,000
-Commision Rate=.04 (percent as decimal)
    Linear  Equation: 55,000=18,000+.04x
37,000=.04x -*Subtract 1800 from each side*
925,000=x -*divide each side by .04*
MOVING ON TO.......

    ~LITERAL EQUATIONS- solve for the variable that is given 
 ie:                d=rt for t 
     Divide d by r to isolate the t and the you should get: (d/r) = t
 
               p = (m/v) for m 
   Mutiply by the denominator to isolate m and then you get: pr = m

                   k = mgh for h 
    Divide the k by mg to solve for h. You should get (k/mg) = h

                  z = 2*10x for x
   Multiply 2 by 10 first to get 
                 z = 20x
    Then divide z by 20 to get the x by itself to get (z/20) = x

 

This  will show you how to write the equation of a line if you are given the slope (b) = -½, the y intercept of 4 and then the points (2,3)

***How to write an equation in standard form- Standard from is where you have the y on one side of the equation and the slope, x and y intercept on the other side of the equation. If the slope (m) = (-½). And the y intercept (b) = 4, you would write y = (-½)x+4 or y = (-½)x +4,  So that is the equation of the line in standard form. 

*** How to write an equation in point-slope form. You use point slope form when you are given the slope and the coordinates for a point. For example,  the slope of a line is -½ and the coordinates you are given are (2,3), you would make( x₁+y₂) = (2,3) & m= -½.
~y-y₁ = m(x-x₁) Use point slope form
~y-3 = -½(x-2) substitue the known
~y-3 = -½+ 1 distributive property
~y = -½x+4 That would be the point-slope form if you were given the points (2,3) and a slope of -½.

 
***How to write an equation using slope intercept form. You are given the slope = -½ and the y intercept is 4. 
y = mx+b    -set up your problem
y = -½x+4  -put then known into the equation
y = -½+4    -the equation of the line<
 

               **********YOU ARE NOW DONE WITH LINEAR EQUATIONS, LITERAL EQUATOINS, AND WRITING AN EQUATION IN 3 DIFFERENT FORMS!!!!:)