Question

The point (2,w) is on the graph of 2x−3y^2=1. What is the value of w?

`2x-3y^2=1`

Answer 1

`w=+-1`

Explanation:

If a specific point is on a graph, it means that those coordinates satisfy the equation defining that graph.
For example, we know that `(2,1)` lies on the equation `y=x^2/4`, because if we sub in those specific values of `x` and `y`, the equation holds true.
Using this, we sub in the point into the equation:
`2(2)-3(w)^2=1`
`3=3w^2`
`w^2=1`
`w=+-1`