Question

What is the slope of the line?

Answer 1

Answer:

-7/2

Step-by-step explanation:

The slope of a line can be defined as: $\frac{rise}{run}$, which can be more formally calculated as: $\frac{y_2-y_1}{x_2-x_1}$, 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: $\frac{-2-5}{-3-(-5)}\implies\frac{-7}{-3+5}\implies-\frac{7}{2}$

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.