The number next to "x" is the slope, so the slope for y=3x+4 is 3(rise) over 1(run) or 3(up) 1(right) ; 3/1.
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If: 3x+y = -4 Then: y = -3x-4 and the slope of the line is -3
The slope is -1. 3x+3y=12 Subtract 3x 3y=-3x+12 Divide by 3 y=-x+4
the slope is -3 and the y-intercept is (0,4)
3x+4y = 4 4y = -3x+4 y = -3/4x+1 So the slope is -3/4 and the intercept is 1
If: 3x+4y = 4 Then: y = -3/4x+1 and so the slope is -3/4 or -0.75 with a y intercept of 1