Use the image to answer the question.

Question

(8, 4), (6, 3), (4, 2), (2, 1), (0, 0)
Use similar triangles to determine the slope of the line. Write your answer in fraction form.
The slope is __.

Answer 1

To determine the slope of the line using the given points, we need to use the formula for slope, which is

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

We can use any two points from the provided list. Let's use the points (8, 4) and (0, 0).

Assigning the points:

• $(x_1,y_1)=(0,0)$
• $(x_2,y_2)=(8,4)$

Now, we compute the slope:

$$\text{slope}=\frac{4-0}{8-0}=\frac{4}{8}=\frac{1}{2}$$

Thus, the slope of the line is

$$\frac{1}{2}$$

Therefore, the answer is:

The slope is $\frac{1}{2}$.