Question

G(x) is a linear function that makes a line when you graph it. Some of its points are listed in the table below. If this line was graphed completely, would it ever intersect with the circle pictured ? Describe how you know.

x g(x)
-4 -4
-2 -2
2 2

PLEASE HELP! 30 POINTS!

Answer 1

I need the graph but here:
Plotting the points (-4,-4), (-2,-2), and (2,2), we can see that they lie on a straight line passing through the origin with a slope of 1.

To determine if this line intersects with the circle, we need to know the equation of the circle. We can find the equation of the circle by knowing its center and radius or by having three points on the circle. Once we have the equation of the circle, we can compare it with the equation of the line to determine if they intersect.