okay, so to find this the format of the equation is y=mx+b, where m is the slope, and b is the y-int. 4x-3y=6 simplified to that format is: y=1.3333...x+2, so the slope is 1 and 1/3, and the y-int. is 2.
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y = mx + b y = 0.666666666666666666667(x) + 6 m = slope b = y intercept
Slope is 'rise over run', that is rise divided by run. In this case, that's 12 divided by 6, which equals 2.
6x = 10-y y = -6x+10 The slope is -6 and the y intercept is 10
-6
Slope: -5 Points: (6, 3) Equation: y = -5x+33