Question

How do you find the slope and intercept of `y=-2`?

Answer 1

See a solution process below:

Explanation:

One method is to write this in slope intercept form. 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.

`y = -2` can be rewritten as:

`y = color(red)(0)x - color(blue)(2)`

`y = color(red)(0)x + color(blue)(-2)`

Therefore:

• The slope is: `color(red)(m = 0)`

• The `y`-intercept is: `color(blue)(-2)` or `(0, color(blue)(-2))`

Another method is to know this form of equation represents a horizontal line where for each and every value of `x`; `y` has the same values, in this case `-2`

By definition, the slope of a horizontal line is `color(red)(0)`

And, if `y` has the same value for each and every value of `x`, the `y`-intercept is `(0, color(blue)(2))`