a) Please see the graph. b) All three lines have the same coefficients for x and y. The constant is the difference in all three lines. c) As C increases, the line will be pushed further from the origin.
Work Step by Step
a) purple line: $2x+3y = 6$ black line: $2x+3y = 12$ red line: $2x+3y = 18$ b) The coefficients are the numbers in front of x and y. These are 2 and 3 for x and y, respectively. c) The purple line is the closest of the three to the origin. The purple line also has the smallest value for C (of the three lines).