Which is an equation of a line that passes through point P(1,1) and is parallel to the given line #y=-2x+4#?

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Answer 1 · 2016-10-26T06:06:25

#y=-2x+3#

If a line is parallel to another it simply means that the two lines have the same gradient.
So a line parallel to,

#y=-2x+4#

will have the general formula,

#y=-2x+c#

so given a point on the line like #(1,1)# we can determine the actual equation of the line by subbing in.

#1=-2(1)+c#

#c=3#

leaving us with,

#y=-2x+3#

as our new line.