Question

A line passes through the points in this table.
x y
0 -8
8 6
16 20
24 34
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 given points, we can use the formula for the slope \( m \):

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

We can choose any two points from the table. Let's choose the first two points (0, -8) and (8, 6) for calculation:

- Point 1: \( (x_1, y_1) = (0, -8) \)
- Point 2: \( (x_2, y_2) = (8, 6) \)

Now substituting into the slope formula:

\[
m = \frac{6 - (-8)}{8 - 0} = \frac{6 + 8}{8} = \frac{14}{8} = \frac{7}{4}
\]

Thus, the slope of the line is:

\[
\boxed{\frac{7}{4}}
\]