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
![m = (y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/qpav2tpezfjoebw1smt5zxyas28f0tlb4m.png)
From given,
![(x_1, y_1) = (4, 3)\\\\(x_2, y_2) = (4, -2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ww9fmlwxts09ydoj9kieghfjz6rlzuvlxf.png)
Substituting the values we get,
![m = (-2-3)/(4-4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nlwipjvdy9hypgnx0z6jmh6p8gwdbhkliq.png)
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