Question

What is an equation of the line that passes through the points (-7, -5)(−7,−5) and (-7, -2)(−7,−2)?

Answer 1

Given:

A line passes through two points (-7, -5) and (-7, -2).

To find:

The equation of the line.

Solution:

If a line passes through two points, then the slope of the line is

`m=(y_2-y_1)/(x_2-x_1)`

The line passes through two points (-7, -5) and (-7, -2). So, the equation of the line is

`m=(-2-(-5))/(-7-(-7))`

`m=(-2+5)/(-7+7)`

`m=(3)/(0)`

`m=\infty`

Here, slope is ∞. It means it is a vertical line of the form
`x=a`, where a is constant.

It the given points x-coordinates are same, i.e., -7. So, equation of the line is

`x=-7`

Therefore, the equation of the line is
`x=-7`.