Determine whether each equation defines y as a function of x. 2x ...

Question

Determine whether each equation defines y as a function of x. 2x + y = 8

Accepted Answer

Hello today we're going to be solving an equation and identifying whether that equation is a function of Y or not. So the equation given to us is three, Y plus X is equal to negative nine. Now, in order to turn this into a form of a function we're gonna need to solve for y variable. So in order to solve for y variable, we need to get Y by itself. So to start that we're going to subtract X to both sides of this equation. Doing so is gonna leave me with three Y equal to negative X minus nine. And in order to get why by itself, we're just gonna go ahead and divide both sides by three. Doing so is gonna leave me with Y is equal to negative 1/3 X -3. So what does this mean for us? What does this tell us? Well, this is the form of a linear function where the linear function is in the form of Y is equal to M X plus B. That means that this is going to be a 1-1 function. And since this is 1 - one, yes, this is a function. So since we know this is a function, the solution to this problem is going to be a So I hope this video helps you in identifying whether this equation is a function or not. And I'll go ahead and see you all in the next video

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