Question

How do you find the slope and intercept for `2x+y=5`?

Answer 1

Slope: `-2`, or `-2/1`
Intercept: `5`

Explanation:

To find slope and intercept, we should have this in slope-intercept form, `y=mx+b`. Slope is `m` and `b` is the intercept.

Now let's isolate the `y` to get the form.
`2x+y=5` becomes `\cancel(2x)+y\cancel(\color(red)(-2x))=5\color(red)(-2x)` which simplifies to `y=-2x+5`

From there, you see that slope `m=-2` and intercept `b=5`.