How do I find the standard form of two points?

Question

i have to find the equation, in standard form, of the two points (11,8) and (11,-10)

Answer 1

The standard form of two points, also known as Two Point Form, is written as y - y₂ = m (x-x₁) where

m = y₂-y₁/x₂ - x₁. You are given two points (11,8) and (11,-10); let's have (11,8) be our first coordinate P₁ and (11,-10) be our second coordinate P₂. Normally, we would first find the slope m = y₂-y₁/x₂ - x₁, but notice we get (8-(-10)/0), which we cannot evaluate. If we plot these two points on a graph, we will see that both P₁ and P₂ are at the same x-value of 11, where there is no slope that can exist with these two points. However, we can say that the equation passing through this line is x = 11 because once we draw a vertical line at x-coordinate 11, we see that 8 and -10 are y-coordinates on this line.