Are the graphs of the lines in the pair parallel? Explain. y=2\3x-17 4x-6y=-6

Question

Are the graphs of the lines in the pair parallel? Explain. y=2\3x-17  4x-6y=-6

anonymous · Answer

yes because both equations have 2/3x which makes them parallel

anonymous · Answer

Lines are parallel if their slopes are the same. 
 Write each equation in the form y = mx + c. 
 If m is the same the two lines are parallel. 

So write the equations using y=mx+b

y=2/3x-17 is already in that form 
4x-6y=-6 is not.
To get that equation in the formula, subtract 4x from both sides so the -6y=-4x-6.
Next divide by -6 so that y= -4/-6x+1. Youre not done yet though! :)
simplify the sslope -4/-6 so that the final equation is y=2/3x+1 :)

Therefore they have the same slopes

mathmale · Answer

"yes because both equations have 2/3x which makes them parallel":  You are comparing SLOPES.  The SLOPES of the two lines are the same:  2/3.  Leave that "x" out.