A line passes through the points in this table.

Question

x y
25 38
29 26
33 14
37 2
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer 1

To find the slope of the line that passes through the points given in the table, we can use the formula for the slope $m$, which is:

$$m=\frac{y_2-y_1}{x_2-x_1}$$

We can choose any two points from the table. Let’s use the first two points: $(25,38)$ and $(29,26)$.

Here, $(x_1,y_1)=(25,38)$ and $(x_2,y_2)=(29,26)$.

Now, we can plug these values into the slope formula:

$$m=\frac{26-38}{29-25}=\frac{-12}{4}=-3$$

So, the slope of the line is:

$$\boxed{{\displaystyle -3}}$$