Question

Write the slope intercept form of an equation through: (2,5), slope m=undefined

Answer 1

Equation of the line: x = 2

Explanation:

Given the point, (2, 5), and an undefined slope (m ):

A vertical line has an undefined slope, as it does not have any horizontal change.

In other words, the slope formula will be:

`\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}\:=\:((y_2\: -\: y_1))/(0)}}`

A division by zero makes the equation an undefined operation, therefore, we cannot express the line in slope-intercept form.

However, we could use the standard equation of a vertical line, x = a, where a represents the x-intercept.

Therefore, the equation of the line is x = 2, which represents a vertical line.