Question

How do you write the point slope form of the equation given (1,-3) and slope 0?

Answer 1

See a solution process below:

Explanation:

A slope of `0` indicates the line is a horizontal line. This means, for each any every value of `x` the `y` value is the same. In this problem, the point given has the `y` value as `-3`.

Therefore, the `y`-intercept is `(0, -3)` of `-3`.

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.

Therefore, for this point and slope the equation would be:

`y = color(red)(0)x + color(blue)(-3)`

Or

`y = -3`