Determine whether the given point is on the graph of the equation.
-Equation: $x ^ { 2 } - y ^ { 2 } = 16$
Point: $( 2 \sqrt { 2 } , 2 \sqrt { 2 } )$
A) Yes
B) $\mathrm { No }$

Question

Quizplus · Accepted Answer

Substituting $x = 2\sqrt{2}$ and $y = 2\sqrt{2}$ into the equation $x^2 - y^2 = 16$, we get $(2\sqrt{2})^2 - (2\sqrt{2})^2 = 8 - 8 = 0$, which does not equal 16. Therefore, the point is not on the graph of the equation.

Determine Whether the Given Point Is on the Graph of the Equation