Question

What is the slope of the line?

Answer 1

-7/2

Explanation:

The slope of a line can be defined as:
`(rise)/(run)`, which can be more formally calculated as:
`(y_2-y_1)/(x_2-x_1)`, where it's essentially the same thing, except the rise/run is being calculated with two points (which you already need)

So let's just say:
`(x_1, y_1)=(-5, 5)\text{ and } (x_2, y_2)=(-3, -2)`

Plugging the values into the equation we get:
`(-2-5)/(-3-(-5))\implies(-7)/(-3+5)\implies-(7)/(2)`

You can also just look at the graph and see that from point 1 to point 2, it "rised" -7 units, and "ran" 2 units.

Notice how the "rise" is negative? That just means it went down.