Question

51. For which of the following values of L will the lines whose equations are 2x+3y=8

and 8x+12y = L be parallel?
I. L = 0
II. L = 8
III. L = −8
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III

Answer 1

Answer is E. I II and III

Step-by-step explanation

Graph the first equation then graph the 2nd equation substituting 0, 8 and -8 for L.
All three show a parallel line to the first equation.

2x + 3y = 8
x = 4, y= 2.666…

8x + 12y = 0
x= 0, y=0

8x + 12y = -8
x = -1, y = -.66666….