Error Analysis

The slope is 10/5 or 2. Not 10/1. Therefore the equation is wrong.

 the point, (1, -2) works for the first equation,but not the second. And it must work in both equations in order for it to be a solution.





#20-the line should be a dotted line
#21-shading should be below the line

Graphing Absolute Value Functions

  Graphing: y = a|x-h|=k
 When graphing an absolute value equation, your vertex will be (h,k).

*Vertical translations are shown by k:

*Horozontal translations are shown by h: it moves in the opposite direction of the indicated sign. if h is positive, then the graph moves left. if h is negative, the graph moves right.

*Vertical stretch of shrink is shown by a number in front of the absolute value signs.

Systems of Linear Equations

There are three types of solutions.
-Consistent:  

*independent: one solution: a point on a graph where two lines intersect. These lines have two different slopes.*dependent: same slope, same y-intercept.

These equations are the same line. The solution is written  as "All #s"-Inconsistent:

 

 Two lines with the same slope, but different y-intercepts. These lines are parallel.