The equation of the line passing through the point 2,3 and making an intercept of length 2 units between the lines y+2x=3 and y+2x=5 is
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✯The intercept of 2 units means the lines are parallel to each other.
☆consider,
equations of lines given are -
y+2x=3 let it be _______(eq 1)
y+2x=5 let it be ________(eq2)
♦if we consider x=0
then,
by eq,1 y=3
or by eq 2 y=5
so the diference of y at x=0 is 2
♦It means that it has tested the intercept of 2.
as we already know that these lines are parellel so the line having intersect of 2 unit wiil be parallel to the line x=0
♦so the equation will be x=c
as given that the line passes through (2,3) so c=2. Therefore equation of line is x=2
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