Ross is analyzing a circle, y2 + x2 = 64, and a linear function g(x). Will they intersect?

The equation of the circle is written in standard form. We know that the center is at (0,0) and the radius is 8.
g(x) is a linear function that passes through the point (0,4). Since this point on the line lies within the circle, we know that the line must intersect the circle at some point.
The answer is yes, they will intersect. 
If you have to find the function for g(x):
Slope = m = (-3.5 + 4) / 1 = 1/2
y-intercept = b = -4, since we're given the point (0,-4)
g(x) = (1/2)x - 4