# How do you find a standard form equation for the line with m=0, b=1?

Apr 3, 2017

See the entire solution process below:

#### Explanation:

Given the information in the problem we can use the slope-intercept formula to write and equation for the line. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

Substituting the information from the problem gives:

$y = \textcolor{red}{0} x + \textcolor{b l u e}{1}$

We can now transform this to the Standard Form of a linear equation. The standard form of a linear equation is: $\textcolor{red}{A} x + \textcolor{b l u e}{B} y = \textcolor{g r e e n}{C}$

Where, if at all possible, $\textcolor{red}{A}$, $\textcolor{b l u e}{B}$, and $\textcolor{g r e e n}{C}$are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

Because $0 x = 0$ we can just move this term to the left side of the equation to give:

$\textcolor{red}{0} x + \textcolor{b l u e}{1} y = \textcolor{g r e e n}{1}$