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3x = 5y
3x/5 = 5y/5
(3/5)x = y or
y = (3/5)x + 0 is a linear equation of the form y = mx + b, where the slope, m, is 3/5, and the y-intercept, b, is 0.

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Q: How do you find out if 3x equals 5y is a linear equation?
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