Question

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

Answer 1

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 = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

Substituting the information from the problem gives:

`y = color(red)(0)x + color(blue)(1)`

We can now transform this to the Standard Form of a linear equation. The standard form of a linear equation is: `color(red)(A)x + color(blue)(B)y = color(green)(C)`

Where, if at all possible, `color(red)(A)`, `color(blue)(B)`, and `color(green)(C)`are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

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

`color(red)(0)x + color(blue)(1)y = color(green)(1)`