Turn into y = mx + b form
6x-12y = 24
-12y = 24-6x
y = 1/2x -2
m = slope = 1/2
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y = -2x - 8
Slope equals rise over run.
2X + 3Y = 24 subtract 2X from both sides 3Y = - 2X + 24 divide both sides by 3 Y = - 2/3X + 8 slope(m) = - 2/3
If 10x + 6y = 24, y = (24 - 10x)/6 = 4 - (5/3)x. The slope of a line with an equation written in this format is the coefficient of x, therefore -(5/3).
y equals 3x has the greater slope.