Question

Determine whether each equation defines y as function of x, 2x+y=8​

Answer 1

Answer:

Yes. This equation defines y as function of x.

Step-by-step explanation:

Step 1:

Solve the equation for y (this puts the equations in terms of y)

2x+y=8​     becomes

 y = 2x - 8    

This is a linear equation, which is a funtion.  

*Another way to solve this is to look at the graph.  Graphing this equation gives us a line.  Use the vertical line test to see if it's a function.  

To pass the vertical line test (VLT), there can only be one y value to each x value along the graph.  If it passes the VLT, the equation is a function.

If it fails the VRT, the equation is not a function.