SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 6y = 12 L2 with equation 6x + y = 6

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Question 111293: Are the following lines parallel, perpendicular, or neither?
L1 with equation x – 6y = 12
L2 with equation 6x + y = 6
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First find the slope of x – 6y = 12

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


Start with the given equation


Subtract 1x from both sides


Simplify


Divide both sides by -6 to isolate y


Break up the fraction on the right hand side


Reduce and simplify


The original equation (standard form) is equivalent to (slope-intercept form)


The equation is in the form where is the slope and is the y intercept.





Now find the slope of 6x + y = 6

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


Start with the given equation


Subtract 6x from both sides


Simplify


The original equation (standard form) is equivalent to (slope-intercept form)


The equation is in the form where is the slope and is the y intercept.






Since their product is this means the two lines are perpendicular
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