How do you graph #g(x) = | 2x - 7 | #? Algebra Linear Inequalities and Absolute Value Graphs of Absolute Value Equations 1 Answer A. S. Adikesavan Mar 16, 2016 Draw the half-line #y = g(x) = 2x-7, above ( 7/2, 0 )# and construct its mirror image with respect to #x = 7/2#, to form the V-shape graph of #y = 2x-7#- Explanation: #g(x) >= 0#, for all x. #g(7/2) = 0#.. For #x < 7/2, g(x) = 7 - 2x# Answer link Related questions How do you graph absolute value equations on a coordinate plane? How do you create a table of values for an absolute value equation? How do you know which x values to choose when creating a table of values for an absolute value equation? What is the shape of an absolute value graph? How do you find a vertex by looking at an absolute value equation? How do you graph the equation #y=|x+2|+3#? Which x values do you choose to create a #(x, y)# table for #y=|x+5| #? How do you graph #y=4|x|-2#? Where is the vertex for #y= |x/3-4 |#? How do you graph #f(x)=abs(x-3)+4#? See all questions in Graphs of Absolute Value Equations Impact of this question 2418 views around the world You can reuse this answer Creative Commons License