Question

How do you find a standard form equation for the line with (4,5) ; parallel to the x-axis?

Answer 1

See a solution process below:

Explanation:

Any line parallel to the `x`-axis is a horizontal lines. The rule for horizontal lines is for each and every value of `x`, `y` is the same.

So, for this problem, for each and every value of `x`, `y = 5`

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

We can convert `y = 5` to standard form as:

`color(red)(0)x + color(blue)(1)y = color(green)(5)`