Question

x y
-3 49
-2 47
-1 45
0 43
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer 1

To calculate the slope of the line defined by the given points, we can use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

We can take any two points from the list. Let's use the points (-3, 49) and (0, 43).

Here, \( (x_1, y_1) = (-3, 49) \) and \( (x_2, y_2) = (0, 43) \).

Now, substituting these values into the slope formula:

\[
m = \frac{43 - 49}{0 - (-3)} = \frac{-6}{3} = -2
\]

Thus, the slope of the line is \(-2\).