Question

Write an equation and state the slope for the line that passes through (9,22) and (15,36).

Answer 1

Answer:

Slope = 2.3 or 2

Step-by-step explanation:

First, to find the slope of the given coordinates (9,22) and (15,36), we must establish what will be our starting and endpoint.

Let's have (9,22) be our starting point.

And (15,36) be our endpoint.

First, what is the change in x?

The change in x is 6, because 9 + 6 = 15.  (Δx = 6)

Second, what is the change in y?

The change in y is 14, because 22 + 14 = 36.  (Δy = 14)

Now we can find the slope by dividing the change in y over the change in x or Δy/Δx:

$\frac{14}{6}$ = 2.3 or 2