Question

In the following exercises, solve the system of equations by using graphing.

$$\begin{gathered} x^2+y^2=25 \\ y=-5 \end{gathered}$$

Short answer

Intersection of both graph is (0,-5)

Step-by-step solution

Given information 

System of equations are

$$\begin{gathered} x^2+y^2=25 \\ y=-5 \end{gathered}$$

Graph the first equation 

The given equation is in the form of

$$\begin{gathered} {(x-h)}^2+{(y-k)}^2=r^2(h,k)isthecenter \\ \text{'}r\text{'}istheradius \\ {x}^2+y^2=25 \\ centeris(0,0) \\ radius=\sqrt{r^2}=\sqrt{25}=5 \end{gathered}$$

Graph the point (0,0) and radius = 5 units

Graph the second equation 

Equation is $y=-5$

For any value of x , the value of y is -5

(0,-5)

(2,-5)

Graph both the points and make a line

Intersection 

Intersection of both graph is

(0,-5)