SOLUTION: Without graphing, determine whether the following pairs of lines are (a)parallel, (b) perpendicular, or (c) neither parallel nor perpendicular.
5x-6y=19
6x+5y=-30
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Question 536509: Without graphing, determine whether the following pairs of lines are (a)parallel, (b) perpendicular, or (c) neither parallel nor perpendicular.
5x-6y=19
6x+5y=-30
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Are they parallel, perpendicular, or neither?
1) and...
2)
First, put both equations in the "slope-intercept" form:
Add 6y to both sides.
Now subtract 19 from both sides.
Finally, divide both sides by 6.
or
Similarly for equation 2)
Subtract 6x from both sides.
Now divide both sides by 5.
Compare with the "slope-intercept" form:
where m is the slope.
and...
You'll notice that the slopes are negative reciprocals of each other!
If two lines are perpendicular, their slopes are the negative reciprocal of each other.
What's your conclusion?
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