What is the equation of the line that goes through #(2,3)# and is parallel to #y=x+3#?

1 Answer
Mia
Oct 29, 2016

#y=x+1#

Explanation:

The line to be determined is parallel to the given line #y=color(red)(1)x+3#
So, the slope is #color(red)1#
Because two parallel straight lines have same slope

It passes through #color(blue)((2,3)# then the equation is:

#y-color(blue)3=color(red)1(x-color(blue)2)#

#y=x-2+3#

#y=x+1#

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