Question

Use similar triangles to determine the slope of the line. Write your answer in fraction form
(1 point)
The slope is

Answer 1

To find the slope of a line using similar triangles, you can use the formula for the slope \( m \):

\[
m = \frac{\text{rise}}{\text{run}} = \frac{\Delta y}{\Delta x}
\]

Here's how you can apply this method:

1. **Identify two points** on the line. Let's call them Point A \((x_1, y_1)\) and Point B \((x_2, y_2)\).

2. **Calculate the rise** (the change in y-coordinates) and the run (the change in x-coordinates):
- The rise is calculated as \(\Delta y = y_2 - y_1\)
- The run is calculated as \(\Delta x = x_2 - x_1\)

3. **Form the fraction** for the slope:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

For example, if you have two points A(1, 2) and B(4, 6):

- \( \Delta y = 6 - 2 = 4 \)
- \( \Delta x = 4 - 1 = 3 \)

Now, plug these values into the slope formula:
\[
m = \frac{4}{3}
\]

Thus, the slope of the line is \(\frac{4}{3}\).

If you have specific points in mind, please provide them, and I can help you calculate the slope based on those points!