Question

What is the slope and y-intercept of the line x + y + 2 = 0?

Answer 1

slope = -1
intercept = -2

Explanation:

The standard equation of the line in the slope-intercept form is `y = mx+c`, where `m` is the slope and `c` is the intercept.

So our work is to get the equation in this particular form.

`x + y + 2 = 0`
`=> y = -x - 2`
`=> y = (-1) x + (-2)`
This is an equation in the slope-intercept form, and we can compare it with the equation `y = mx+c` to get `m = -1` and `c = -2`.

(Try and draw a graph, and it would be very clear to you what the negative slope and intercept means.)