Question

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

Answer 1

Slope `= - 2`,
`y`-intercept `= -2`,
`x`-intercept `= -1`.

Explanation:

We start with:
`2x + y = -2`.

The equation of a straight line is usually written as:
`y = mx + c`, where m is the gradient and `c` the `y`-intercept. So, we will put it in that format:
`2x + y = -2`,
`y = -2x -2`. So, we know that `m = -2` and that the `y`-intercept is at `-2`.

If we want to know the `x`-intercept, we can simply substitute `y` by 0 and solve for `x`:
`0 = - 2x - 2`,
`2x = - 2`,
`x = -1`.

Hope it Helps! :D .