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
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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
Convert the equation into the form y = mx + c, where m is the slope (and c is the y intercept) 2x + 3y = 18 3y = -2x + 18 y = -2/3x + 6 Therefore the slope is -2/3.