Solve the system of equations by graphing:

Question

Solve the system of equations by graphing:

 

y - 4x= 18

y = 4x +20

 

 

 

Enter the solution set in the boxes below. If the lines are parallel, enter DNE (for "does not exist") into each box. If the lines are coincident (infinite number of solutions), enter oo into each box. (Note: Use double letter o's, not zeros, for infinity.)

Answer 1

DNE

the lines are parallel and never intersect

both have the same slope = 4

if they have the same slope they are parallel (unless they are the same line)

they are parallel and have different y intercepts, 18 and 20. the 2nd line is the same as the 1st line shifted vertically up by 2 units