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Yes, generelly if there are no exponents greater than 1, it is a linear equation.

in this case you can rearrange the equation to be:

4x-5y=10 ==> 4x-10 = 5y ==> 4/5x-2=y

y=mx+b

m=slope

b=y-intercept

slope = 4/5

y-intercept = -2

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Q: Is 4x-5y equals 10 a linear equation?
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