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

Guest Mar 20, 2021

#1**+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 :)

idyllic Mar 20, 2021