Question

is.
6y Find the equations of the straight lines which pass through (5, 3) and
are respectively parallel and perpendicular to the x-axis. .
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Answer 1

$GOOD \: MORNING \:$

EQUATION OF A LINE PASSING THROUGH POINTS ( a , b ) AND HAVING SLOPE m IS GIVEN BY.

y - b = m ( x - a )

CASE 1:- WHEN LINE IS // TO THE X-AXIS.

a=5 , b= 3 And m = Tan(0) = 0

Angle between line and x-axis is zero.

y-3 = 0 (x-5)

y-3=0

CASE 2:- WHEN LINE IS PERPENDICULAR TO THE X-AXIS.

a=5 , b=3 And m=Tan(90)=1/0

Angle between line and x-axis is 90°

y-3 = 1/0(x-5)

(x-5)=0