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