If you mean x-3y = 6 then y = 1/3x-2
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5x -3y = -6 -3y = -5x -6 y = 5/3x+2 in slope intercept form
2x - 3y = 6 2x = 6 + 3y 2x - 6 = 3y : 3y = 2x - 6 y = 2/3x - 2
you mean -x + 3y + 6 = 0? y = x/3 - 2
If you mean: 3y = 9x+6 then y = 3x+2 whereas 2 is the y intercept and 3 is the slope
It is slope intercept form. The equation for slope intercept form is y=mx+b which is like your equation y=5x+6