SOLUTION: directions are the graph of the line in the pair parallel?explain y=1/6x+8 -2x+12y=-11

Algebra ->  Linear-equations -> SOLUTION: directions are the graph of the line in the pair parallel?explain y=1/6x+8 -2x+12y=-11       Log On


   

Question 249104: directions
are the graph of the line in the pair parallel?explain
y=1/6x+8
-2x+12y=-11



Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Are the graph of the lines in the pair parallel? Explain.
y=(1/6)x+8 ...and... -2x+12y=-11

Facts:
1. Two parallel lines share the same slope.
2. To determine a slope, express the equations in this form: y=mx%2Bb
3. m = slope

y=%281%2F6%29x%2B8 <--- is already in y=mx+b form. Slope is 1%2F6

-2x%2B12y=-11
12y=2x-11
y=%28%282x%29%2F12%29-%2811%2F12%29
y=%281%2F6%29x-%2811%2F12%29 <--- the slope is 1%2F6

The answer is: they are parallel lines because they share the same slope.

Here is how their graphs look like:
y=%281%2F6%29x%2B8 represented in red
y=%281%2F6%29x-%2811%2F12%29 represented in green
graph+%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2F6%29%2B8%2C+%28x%2F6%29-11%2F12%29