Graphing Absolute Value Equations

Draw the graph of y=2x-5 and use that graph to draw a graph of y=|2x-5|.

 

 

 

y=2x-5

m=2

b=-5\ \Rightarrow\ (0,-5)

m=\frac{rise}{run}=\frac{\Delta y}{\Delta x}=\frac{2}{1}

 

 

 

 

 

 

 

 

 

y=|2x-5|

 

 

 

 

 

 

x y
0 |2(0)-5|=|-5|=5
1 |2(1)-5|=|-3|=3
2 |2(2)-5|=|-1|=1
3 1
4 3