A line passes through the points in this table.

Question

x y
0 -25
3 -16
9 2
18 29
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 slope \( m \):

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

We'll use two points from the table. Let's take the first and last points: \((0, -25)\) and \((18, 29)\).

Here, we have:

• \(x_1 = 0\), \(y_1 = -25\)
• \(x_2 = 18\), \(y_2 = 29\)

Substituting the values into the slope formula:

\[ m = \frac{29 - (-25)}{18 - 0} = \frac{29 + 25}{18} = \frac{54}{18} = 3 \]

Thus, the slope of the line is

\[ \boxed{3} \]