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
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