Question

What is an equation of the line that passes through the points (8,-5) and (8, –2)?

Answer 1

Slope Formula (Between 2 points)

`\displaystyle \large{m = (y_2 - y_1)/(x_2 - x_1) }`

Let these be the following:

`\displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)}`

Substitute these points in.

`\displaystyle \large{m = ( - 2 - ( - 5))/(8 - 8) } \\ \displaystyle \large{m = ( - 2 + 5)/(0) }`

Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.

Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.

The line has to be vertical since a x-value can export many y-values.

Hence, the equation of a line would be x = 8