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

#2x-3y^2=1#

1 Answer
Jan 29, 2018

#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#