Question

Use similar triangles to determine the slope of the line. (3,9) (2,6) (1,3) (0,0)(1 point) The slope is ()

Answer 1

To determine the slope of the line using the points given: (3,9), (2,6), (1,3), (0,0), we can use the formula for slope, which is defined as:

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

We can choose any two points from the line. Let's use the points (0,0) and (3,9):

- \( (x_1, y_1) = (0, 0) \)
- \( (x_2, y_2) = (3, 9) \)

Now, substituting these values into the slope formula:

\[
\text{slope} = \frac{9 - 0}{3 - 0} = \frac{9}{3} = 3
\]

Therefore, the slope of the line is \( \boxed{3} \).