Answer:
(-2.23606, 2) and (2.23606, 2)
Step-by-step explanation:
[tex]x^2+y^2=9[/tex]
[tex]y=2[/tex]
The circle has its center situated at the origin and radius of 3 units
Applying the value of y to the first equation
[tex]x^2+2^2=9[/tex]
[tex]\Rightarrow x^2=9-4[/tex]
[tex]\Rightarrow x^2=5[/tex]
[tex]\Rightarrow x=\sqrt{5}[/tex]
[tex]\Rightarrow x=\pm 2.23606[/tex]
So, the points where the line will intersect the circle is (-2.23606, 2) and (2.23606, 2)
