How do you write an equation in standard form for a line passing through (0,3) and parallel to x+ y = 5?

1 Answer
Apr 2, 2018

Answer:

The equation the line passing through #(0,3)# and parallal to the line #x+y=5# is #x+y=3#

Explanation:

Parallal lines have equal slopes . Therefore the equation of a line

parallal to #x+y=5 ;(1)# is #x+y+c=0 ; (2)# The point

#(0,3)# is on the line, so , it will satisfy the equation (2).

# :. 0+3+c=0 :. c=-3# .So , the equation the line is

#x+y-3=0 or x+y=3#.The equation the line passing

through #(0,3)# and parallal to the line #x+y=5# is #x+y=3#

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