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I assume you mean 3x - 5y = 10.

All you have to know for the slope-intercept form is to get y alone by doing inverse (opposite) operations:

First, to get y, which is on the left side of the equation, alone, we must get rid of the 3x and the -5 that are with the y.

We get rid of the positive 3x by subtracting it from both sides of the equation (whatever you do to one side, you have to do to the other). When you do so, though, keep the x term first on the left side of the equation.

It now says, -5y = -3x + 10.

Now we need to get rid of the -5. Since the -5 is right next to the y, it is considered multiplying the y. (Anything that is right next to a variable (letter) is multiplying it.) So, to get rid of it, we do the inverse operation and divide everythingon both sides by -5.

The equation now says, y = 3/5 x - 2, and this is your answer. When y is alone, and has no negative sign before it, it is in the slope-intercept form.

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Q: What is the slope intercept for 3x-5y10?
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