Question

II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.

Answer 1

C) Yes, since the slopes are the same and the y-intercepts are different.

Explanation:

You need to have both equations in slope-intercept form.

4x - 6y = -6

-6y = -4x - 6

y = 2/3x + 1

The two equations are

y = 2/3x + 1

y = 2/3x - 17

For lines to be parallel, the slopes must be equal. The y-intercepts don't matter.

Since the lines have the same slopes but different y-intercepts the answer is C.