Question

What is the slope of `y=-x`?

Answer 1

The slope is -1.

Explanation:

This is in slope-intercept form, or `y = mx + b`, where `m` is the slope and `b` is the `y`-intercept.

Since we know the slope is the value multiplied by `x`, the slope is `-1.`

Hope this helps!

Answer 2

`-1`

Explanation:

`color(blue)("The concept of slope")`

Slope (gradient) is the amount of up or down on the y-axis for a given amount of along on the x-axis.

Suppose for example the slope is 2.

Another way of writing 2 (which is not done very often) is `2/1`

As slope `->("amount of up or down")/("amount of along")` then we have the amount of 2 as the up or down and we have the value of 1 for along.

As the 2 is positive ,by convention, it is UP.

A negative value for the up or down by convention is DOWN.
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`color(blue)("Answering the question")`

Given: `y=-x`

Write this as: `y=-1x larr" bad practice!"`

This is the same as `(-1)/1`

So for 1 along the line goes DOWN 1

Thus the slope is `-1`

Answer 3

`-1`

Explanation:

Recall slope-intercept form

`y=mx+b`, with slope `m` and a `y`-intercept of `b`. With this in mind, we can rewrite our equation as

`y=-x+0`

We see that our slope, or coefficient on `x`, is `-1`.

Hope this helps!