What is the equation of the line passing through $(2,6), (1,6)$ ?

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Answer 1 · 2016-01-14T00:58:22

$y=6$

Let -

$x_1=2$
$y_1=6$
$x_2=1$
$y_2=6$

Then the equation of the line is -

$(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)$
$y-6=(6-6)/(1-2)(x-2)$
$y-6=0/-1(x-2)$
$y-6=0$
$y=6$

On observation you can have an idea about the equation.

It is a linear equation.
Its x-co-ordinate is varying.
Its y co-ordinate is the same.

Hence it is a straight line parallel to the x - axis.

What is the equation of the line passing through (2,6), (1,6)(2,6), (1,6)?