Question

How do you find the slope and intercept of `y=3/5x-1`?

Answer 1

Slope: `3/5`

x-intercept: `(5/3, 0)`

y-intercept: `(0, -1)`

Explanation:

`y = 3/5x - 1`

This equation is in slope-intercept form:

Based on the image, we know that the slope is the value multiplied by `x`, so the slope is `3/5`.

We know the `y`-intercept is `b`, or `-1`, so it is at `(0, -1)`.

To find the `x`-intercept, plug in `0` for `y` and solve for `x`:
`0 = 3/5x - 1`

`1 = 3/5x`

`5/3 = x`

`x = 5/3`

The `x`-intercept is at `(5/3, 0)`.

Hope this helps!

Answer 2

Slope `3/5`, `y`-intercept `-1`, `x`-intercept `5/3`

Explanation:

The good thing is that this equation is in slope-intercept form

`y=mx+b`, with slope `m` and a `y`-intercept of `b`.

By pattern matching, we see that our slope is `3/5`, and our `y`-intercept is `-1`.

We can go about finding our `x`-intercept by setting `y` equal to zero. We get

`3/5x-1=0=>3/5x=1=>x=5/3`

Therefore, our slope is `3/5`, our `y`-intercept is `-1`, and our `x`-intercept is `5/3`.

Hope this helps!