Find where the equation in the absolute value is greater than 0 and where the equation is less than zero. Where the equation is greater than zero, the line you draw will be y=2x-3, and where the equation is less than 0, you draw the negative version of the equation, so y=-2x+3. This is because the absolute value cannot be less than zero. So where the absolute value would be less than 0, you multiply it by -1 (as multiplying a negative by negative 1 will give the absolute value). Also, with an absolute value function, you can split it up into two different liner functions.
So in this case:
2x-3>0
2x>3
x>3/2
2x-3<0
2x<3
x<3/2
2x-3=0
x=3/2
So the two lines would be:
2x-3 for x>3/2 (should be greater than or equal to)
3-2x for x<3/2
