Slope = 4.
In standard slope-intercept form y = mx + b, with m = slope and b = y-intercept.
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y+6=4x-3 y=4x-9 This is the slope intercept form: y=mx+b m (slope) = 4
3+4x=2y-9 Convert to standard form: 2y = 4x+12 or y = 2x+6 The slope, then, is the coefficient of x ie 2.
If: -4x+2y = 9 Then: 2y = 4x+9 Divide all terms by 2: y = 2x+4.5 which is now in slope intercept form
4x-2y = 9 -2y = -4x+9 y = 2x-4.5 in slope intercept form
4x + 32x + 9 = 36x + 9