Convert the equation into y = mx + b form:
2x + 3y = 6
-2x -2x
3y = 6 - 2x
Divide both sides by 3:
y = 2- 2/3x
If we move the terms around to put in in y = mx + b:
y = -2/3x + 2
m is the slope, so the slope is -2/3
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Y=4-(2x/3)
2X + 3Y = 24 subtract 2X from both sides 3Y = - 2X + 24 divide both sides by 3 Y = - 2/3X + 8 slope(m) = - 2/3
y=x+5
y = -2x - 8
2x + 3y = 5 So 3y = -2x + 5 or y = -2/3x + 5 Now that the equation is in standard form, you just read the slope off as the coefficient of x, ie slope = -2/3