Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?

Answer:Yes,they will intersect at (0.686,3.941) and (2.914,-2.741)Step-by-step explanation:Given the values that represent the function g(x) you can plot them directly on a graph tool and plot the function y²+x²=16 then visualizeYou can also determine the equation of the linear function as then graph both equations on the graph toolFinding gradient mGiven (0,6) and (1,3)m=change in value of y/change in value of x[tex]m=\frac{3-6}{1-0} =\frac{-3}{1} =-3[/tex]Finding the equation of the linear functionTaking points (2,0)   and (x,y)[tex]m=\frac{y-0}{x-2} \\\\-3=\frac{y-0}{x-2} \\\\\\-3(x-2)=y-0\\\\\\-3x+6=y-0\\\\\\y=-3x+6[/tex]From the graph,they intersect at (0.686,3.941) and (2.914,-2.741)