SOLUTION: Find an equation of a line in standard form that passes through (3,2) and is parallel to a) y = (1/2)x b) x-axis c) y-axis thank you!

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Question 700897: Find an equation of a line in standard form that passes through (3,2) and is parallel to
a) y = (1/2)x
b) x-axis
c) y-axis
thank you!
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation of a line in standard form that passes through (3,2) and is parallel to
a) y = (1/2)x
Gradient of above = +1%2F2+, Any line parallel to this has same gradient
The equation of a line with gradient +m+ passing through (+x%5B1%5D+,+y%5B1%5D+ ) is given by +y-y%5B1%5D=m%28+x-x%5B1%5D+%29+
So required equation passing through (3,2) is:
+y-2=1%2F2%28x-3%29+
+y-2=x%2F2-3%2F2+
+y=x%2F2%2B1%2F2+


b) x-axis
Any line parallel to x-axis has equation of the form y=c (independent of x)
Line passes through (3,2) is so equation is
+y=2+


c) y-axis
Any line parallel to y-axis has equation of the form x=c (independent of y)
Line passes through (3,2) is so equation is
+x=3+