Question

Select the equations whose graphs are parallel to the graph of the equation y=23x+5.

I. 3x+2y=10
II. 2x−3y=9
III. 4x−6y=30
IV. 3x−2y=8

Answer 1

2x-3y=9 and 4x-6y=30

Explanation:

hello :

note y=(2/3)x+5 no y=23x+5

2/3 is the slope....... all lines parallel to this line has same slope.

1) 2x-3y=9 means : 3y = 2x-9 divide by 3 : y=(2/3)x-3..same slope.

2) 4x-6y=30 means : 6y= 4x-30 divide by 6 : y=(4/6)x -30/6

but 4/6 = 2/3 so : y=(2/3)x-5..same slope.