graph of the system of equations?

Question

use a graphing utility to approximate all points of intersection of the graph of the system of equations 3x-2y=0 and x^2+y^2=4

Answer 1

Given equations are 3x-2y = 0, x^2+y^2 = 4

3x-2y = 0 is represents a line and x^2+y^2 = 4 is represents a circle.

Graph of the system of equations.

Draw a cordinate plane.

Now recognise the systems.

From the graph we can observe the circle and lines are intersecting at two points.

The intersecting points are is approximately (-1.13,-1.65) and (1.13,1.65).