SOLUTION: Find the equation of each family of lines described. Identify three members of the family and sketch them. A)Passing through the point (5,-3) B)Passing through the intersection

Question 1013440: Find the equation of each family of lines described. Identify three members of the family and sketch them.
A)Passing through the point (5,-3)
B)Passing through the intersection of the lines 3x-y=15 and 2x+y=10
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the equation of each family of lines described. Identify three members of the family and sketch them.
A)Passing through the point (5,-3)
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Form:: y = mx + b
-3 = 5m + b
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1st line::
Let m = 0
Then b = -3
Eq:: y = -3
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2nd line::
Let b = 0
Then m == -3/5
Eq:: y = (-3/5)x
----
3rd line::
Let m = 5
Then -3 = 5*-3 + b
b = 15
Eq: y = 5x + 15
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B)Passing through the intersection of the lines 3x-y=15 and 2x+y=10
Find the intersection, then follow the same procedure I used
in part A.
Cheers,
Stan H.
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