# SOLUTION: draw the graph of each of the following equations on the same graph paper a)y=2 b)y=6 c)y=2x-2 d)y=2x-6 do you obtain a parallelogram from these four lines?write down the coor

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: draw the graph of each of the following equations on the same graph paper a)y=2 b)y=6 c)y=2x-2 d)y=2x-6 do you obtain a parallelogram from these four lines?write down the coor      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Coordinate systems, graph plotting, etc Solvers Lessons Answers archive Quiz In Depth

 Question 597567: draw the graph of each of the following equations on the same graph paper a)y=2 b)y=6 c)y=2x-2 d)y=2x-6 do you obtain a parallelogram from these four lines?write down the coordinates of the vertices of the parallelogramAnswer by math-vortex(472)   (Show Source): You can put this solution on YOUR website!Hi, there-- . Here is the graph of the lines. Read below the graph for the rest of the solution. . a)red line: y=2 b)green line: y=6 c)blue line: y=2x-2 d)purple line: y=2x-6 . The four lines do form a parallelogram. We know that it is a parallelogram because the opposite sides are formed by lines with the same slope: y=2 and y=6 both have a slope of 0, while y=2x-2 and y=2x-6 both have a slope of 2. . To find the vertices of the parallelogram, find the solution for the two equations that intersect at that point. I'll use the substitution method. . Find the red-blue vertex: . Substitute 2 for y in the second equation and solve for x. . The red-blue vertex is (2,2). . Find the red-purple vertex: . Substitute 2 for y in the second equation and solve for x. . The red-purple vertex is (4,2). . Find the green-blue vertex: . Substitute 6 for y in the second equation and solve for x. . The green-blue vertex is (4,6). . Find the green-purple vertex: . Substitute 6 for y in the second equation and solve for x. . The green-purple vertex is (6,6). .