Question 170094
Find the equation for each of the following items below: 
a. A line that passes through (6,2) and has a slope of 2.
Line equation y = mx + b; find m and b.
m = 2
b: 2 = 2*6 + b
b = -10
Equation: y = 2x - 10
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b. A line that passes though the points (2,4) and (8,16)
Line equation y = mx + b; find m and b
m = [16-4]/[8-2] = 2
b: 4 = 2*2 + b
b = 0
Equation: y = 2x
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c. A line that passes through (7,3) and has a slope of -1.
same procudure as above
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d. A line that passes through (1, 1) and is perpendicular to the line 3x+4Y=12.
Find slope of give line: 4y = -3x + 12; y = (-3/4)x + 3
Its slope is -3/4 so the perpendicular line has m = 4/3
b: 1= (4/3)*1 + b
b = -1/3
Equation: y = (4/3)x - (1/3)
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e. A circle with a radius of 9 and a midpoint at (3,3)
(x-3)^2 + (y-3)^2 = 9^2
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Cheers,
Stan H.