Question

find the question of the line containing the points (1,2) and (1,-2)​

Answer 1

x = 1 is the equation of the line containing the points (1,2) and (1,-2)

Solution:

Given that,

We have to find the equation of the line containing the points (1,2) and (1,-2)

Find the slope of line

m = \frac{y_2-y_1}{x_2-x_1}m=

x

2

−x

1

y

2

−y

1

From given,

\begin{gathered}(x_1, y_1) = (1 , 2)\\\\(x_2, y_2) = (1 , - 2)\end{gathered}

(x

1

,y

1

)=(1,2)

(x

2

,y

2

)=(1,−2)

Therefore,

\begin{gathered}slope = \frac{-2-2}{1-1}\\\\slope = \frac{-4}{0}\end{gathered}

slope=

1−1

−2−2

slope=

0

−4

Thus slope of line is undefined

Therefore, line is parallel to y axis., which means vertical line

The equation of line parallel to y axis is given as: x = k

Where,

k is the x co-ordinate of line

From given, x = 1

Therefore,

The equation of line is x = 1