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Which equation represents a line which is parallel to the line y = -7/6*x - 3?

 

 Mar 20, 2021
 #1
avatar+141 
+1

in a line that is parallel to another, the slopes must be the same.

 

so we can try the different choices to see which one has the same slope (-7/6).

 

6x + 7y = 21 -> 6x - 21 + 7y = 0 -> 6x - 21 = -7y -> -6/7x + 21/7 = y           (so this equation does not work, slope of this one is -6/7)

7y - 6x = -56 -> 7y = -56 + 6x -> y = 7/6x - 8             (so this equation does not work, slope of this one is 7/6)

7x + 6y = 24 -> 6y = 24 - 7x -> y = -7/6x + 4           (this equation is our answer! it has the same slope, -7/6).

 

 

hope this helped! please let me know if you are confused about anything i did :)

 Mar 20, 2021
 #2
avatar+112893 
+2

Idyllic, this is mainly for your benefit.   laugh

 

If a linear equation is of the from       ax+by+c=0      or     ax+by=c

 

Then the gradient will be      -a/b

 

This simplifies what you have done enormously.    wink

 Mar 20, 2021

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