Respuesta :

The equation of the given line in standard form (4, 3) (4, -2) is x - 4 = 0

Solution:

Given points are:

(4, 3) (4, -2)

Let us first find the slope of line

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

From given,

[tex](x_1, y_1) = (4, 3)\\\\(x_2, y_2) = (4, -2)[/tex]

Substituting the values we get,

[tex]m = \frac{-2-3}{4-4}[/tex]

slope is undefined

This means that, line is perfectly vertical, and has an infinite (or undefined) slope

Therefore, equation of line is: x = 4

In standard form, we get, x - 4 = 0