Question

How do you find the slope and y-intercept for the line `y=-x`?

Answer 1

See a solution process below:

Explanation:

We can easily 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 = -x` becomes:

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

Therefore:

• The slope is: `color(red)(m = -1)`
• The `y`-intercept is: `color(blue)(b = 0)` or `(0, color(blue)(0))`