Question

Write the equation of the line that passes through the points (-6,8) and (-6,2).

Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answer 1

x = -6

Step-by-step solution:

The two points you have are (-6, 8) and (-6, 2).

1) First, you want to find the slope.

The equation for slope is
`(y_(2) - y_(1))/(x_(2) - x_(1))`.

Let's have (-6, 8) be x_{1} and y_{1}, and (-6, 2 ) x_{2} and y_{2}.

So, you would get
`(2 - 8)/(-6 - (-6))`=
`(-6)/(0)` = 0.

Since there is no slope, you know this is a horizontal or vertical line.

Because the two points have the same x- value, you know that it is a vertical line at x = -6.

You can see the two points and the line in the graph I've attached below.