a student wants to graph a circle with the equation x*2+y*2=25 what points should e use to determine a sketch of the graph

Answer 1

To graph the circle with the equation x^2 + y^2 = 25, you can determine some points to sketch the graph by plugging in different values for x and solving for y, or vice versa.

One common approach is to choose values for x (such as -5, -4, -3, 0, 3, 4, 5) and solve for y using the equation x^2 + y^2 = 25. You can then plot the points (x, y) on a coordinate plane to form a rough sketch of the circle.

For example, if you choose x = -3, you would solve for y:

(-3)^2 + y^2 = 25
9 + y^2 = 25
y^2 = 16
y = ±4

So, one point on the circle would be (-3, 4) and another would be (-3, -4).

Using this method to find a few more points, you can plot them and connect them to create a sketch of the circle on a coordinate plane.