Clayton's Counting

Solving Literal Equations
Literal Equations are equations that use just letters and no numbers.
Examples:
E=IR (solve for I)
E/R=I/R  divide each side by R
E/R=I  -this is your answer
 

E=mc2 (solve for m)
E/c2=m/c2 divide both sides by c2
E/c2=m  this is your answer
 

 
Solving Linear equations
Linear equations are equations with numbers with only one variable.
Examples:
3-2x=4
-3      -3  subtract 3 from both sides
-2x=1
/-2   /-2  divide each side by -2
x=-1/2  this is your answer

 
Try a harder linear equation:
 t=2-2[2t-3(1-t)]
t=2-2[2t-3+3t]  distribute the 3
t=2-2[5t-3]  combine like terms 
                    (the 2t and the 3t)
t=2-10t+6  distibute the 2
+10 +10  add 10 to both sides
11t=2+6 
11t=8  combine like terms
/11  /11  divide each side by 11
t=8/11  this is your answer 
(We're almost finished)
Now try equations for a line:
There are 3 equations for a line;
this is the first equation
slope intercept form: y=mx+b
 Now given 2 coordinate points you can write the equation of a line.
(8,5) (11,4)
11-8=3  subtract x2 from x1 
              this is the m (slope)
4-5=-1  subtract y2 from y1
              this is the b (y intercept)
y=3x-1  plug the numbers in
The 2nd equation for a line is
Point Slope: y-y1=m(x-x1)
 Take your given coordinates and the slope and plug them into the equation.
Example: (0,4), m=2
y-4=2(x-0)
y-4=2x
  +4     +4
y=2x+4
The 3rd equation for a line is
Standard Form: x+y=b
 Put the coordinateds and the slope into the equation.
Example: (3,-2), m=-4/3 
3y=-4/3x(3)(2)
3y=-4x+6
3y+4x=6

Here is a website to the other pages from people in my class.

This is just a website from my favorite waterskiing company, HO.
 

http://geocities.com/felz_01/p2/period2.html
 

http://www.hosports.com

Hosted by www.Geocities.ws

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