```Question 144966
1. (a) Is the graph of a circle a graph of a function? Yes or no
(b) Find the center and the radius of the circle represented by the equation
x^2 + y^2 + 10x – 4y – 7 = 0
x^2+10x+25 + y^2 -4y + 4 = 7+25+4
(x+5)^2 + (y-2)^2 = 36
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Center: (-5,2) ; radius = 6
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2. Let g(x)= 9-x/6+x
(a) Find g(–1)
g(-1) = (9 + 1)/(6-1) = 2
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(b) Find g(t + 1) and simplify.
g(t+1) = (9-(t+1))/(6+(t+1))
g(t+1) = (8-t)/(7+t)
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(c) Find the domain of the function
Let g(x)= 9-x/6+x
Domain: All Real Numbers except x=-6
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3.Consider the points (4, –1) and (7, 8).
(a) Find the midpoint of the line segment with the given endpoints.
x = (4+7)/2 = 11/2
y = (-1+8)/2 = 7/2
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(b) Find the distance between the points. Give an exact answer (simplified as much as possible), and also an approximation to three decimal places.
d = sqrt[(8--1)^2+(7-4)^2] = sqrt(117)
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(c) Find the slope of the line passing through the two given points
slope = (8--1)/(7-4) = 9/3 = 3
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(d) Find the equation of the line passing through the two given points.
8 = 3*7 + b
b = -13
EQUATION: y = 3x -13
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Cheers,
Stan H.

```