Question

What is the slope and y-intercept of the line x+2y=4?

Answer 1

The slope is equal to `-1/2`, or `-0.5`, and the `y`-int is equal to `2`.

Explanation:

We know this because when we put the equation into

`y = mx + b`

form, you first move `x` to the right side by subtracting it from both sides

`2y = -x +4`

Next, you divide by two on both sides to finish off (to isolate `y`), so you get

`y= -.1/2x + 2`

And finally, since you have it in `y = mx + b` form already, (where `b` is the `y`-intercept) you get that slope (or `m`) is equal to `-1/2`.