In the following figure, what is the equation of line l ?
x−y+3=0
y=3x
−x+y+3=0
y=−x+3
A
x−y+3=0
B
y=−x+3
C
y=3x
D
−x+y+3=0
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Solution
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There are two points of intersection i.e. (0,3) and (−3,0).
Equation of line is given by y−y1x−x1=x2−x1y2−y1
⟹y−3x−0=−3−00−3=1
⟹y−3=x
⟹x−y+3=0.
Hence, equation of a line is ⟹x−y+3=0.
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