SOLUTION: how do i decide whether the graphs of the two equations are parallel lines y=2x-12 6x+3y=0

Question 705949: how do i decide whether the graphs of the two equations are parallel lines
y=2x-12
6x+3y=0
Answer by filboi(35) (Show Source): You can put this solution on YOUR website!
The two equations are parallel lines if their slopes are equal. Meaning: if they have the same slope, they do not intersect at any point and therefore parallel to each other.
First, change the equations to the format y=mx + b. In this equation, m is the slope.
y=2x-12; m=2
6x+3y=0 ==> 3y=-6x ==> y=-2x; m=-2
You will notice that the values of the slope are equal but different in sign. Therefore, they are two intersecting lines and are in fact perpendicular to each other.
RELATED QUESTIONS
decide whether the graphs of the two equations are parallel lines:... (answered by stanbon)

The instructions are decide whether the graphs of the two equations are parallel lines.... (answered by Alan3354)

how do i decide whether the graph of the two equations are parallel... (answered by scott8148)

decide whether the graphs of the two equations are parallel lines:... (answered by stanbon)

how do you tell whether the graphs of the two equations are parallel... (answered by skue)

Determin whether the graphs of the two lines are parallel. y+3=9x 6x-y=-3 Are the... (answered by mananth)

Determine whether the graphs of the two lines are parallel. y+3=9x 6x-y=-3 Are the... (answered by Leaf W.)

Determine whether the graphs of the two lines are parallel y+3=6x... (answered by richwmiller)

I'm having problems with my Algebra One homework. I need to "Decide whether the graphs of (answered by jim_thompson5910)