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Solve for y.

2x - 3y = 5

2x - 2x - 3y = -2x + 5

-3y = -2x + 5

-3y/-3 = -2x/-3 + 5/-3

y = (2/3)x - 3/5

Clearly you see that the slope is 2/3.

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Q: The line with equation 2x-3y equals 5 has slope?
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