# college algebra

1. for the given slope-inntercept equation of the line with the following properties parallel to the line y=7; containing the (-3,5)

2. write the equation of the circle in standard form. find the center, radius, intercepts.
x^2+y^2+16x-18y+145=25

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1. parallel to y =7 is a horizontal line
y = 0x + 5
or y = 5

complete the square a couple of times

x^2 + 16 x = -y^2 + 18 y - 120

x^2 + 16 x + 64 = -y^2 + 18 y - -56

(x+8)^2 + y^2 - 18 y = -56

(x+8)^2 + y^2 - 18 y + 81 = 25

(x+8)^2 + (y-9)^2 = 5^2
center at (-8,9) radius 5 etc

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posted by Damon

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