Question

In the following exercise, graph the equation$\frac{x^2}{9}+\frac{y^2}{25}=1$

Short answer

The required equation of a curve and graph is as follows$\frac{x^2}{9}+\frac{y^2}{25}=1$

Step-by-step solution

Step 1, Given the information

The given equation of the curve$\frac{x^2}{9}+\frac{y^2}{25}=1$

Step.2 Draw the graph

The standard equation of the ellipse $\frac{x^2}{9}+\frac{y^2}{25}=1$

Since, $9<25$, the major axis is vertical

Therefore, $$\begin{gathered} b^2=9 \\ b=\pm 3 \end{gathered}$$and $$\begin{gathered} a^2=25 \\ a=\pm 5 \end{gathered}$$