Question

How do you find the slope and intercept of `y=x+4`?

Answer 1

The slope is 1 and the intercept is 4.

Explanation:

You can find the slope of a function by looking at the coefficient of `x` in an equation. In case you forget what the coefficient is, it's the number multiplied by `x` in the equation. Here, the coefficient is `1` ... even though it's not written! Because any number multiplied by `1` does not change, we simplify the writing of `1x` as simply `x`. Had this equation been `y = 3x + 4` the slope would be `3`.

As for the intercept, to find that, set `x = 0`. In our equation this becomes `y = 0 + 4` and simplifies to `y = 4` - that's it!