Determine the y-intercept of 5x-6y=10

-5/3

Let’s first rewrite the equation

5x-6y=10

Now we need to turn this into y=mx+b form. As the equation suggests, we need to first get y alone on the left side. We’ll do this by subtracting 5x on both sides

5x-6y=10
-5x -5x

-6y=-5x+10

Now we need to get y by itself. Since it is being multiplied by -6, let’s divide each number by -6.

-6y=-5x+10

-6y/-6=-5x/-6+10/-6

y=5/6x-10/6

y=5/6x-5/3

When returning to the model equation y=mx+b, b is the y-intercept. This means that whatever is in its place will be the same thing. In our formed equation, 5/3 is in the place of b. This is your answer!

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