Use the image to answer the question

Question

Use similar triangles to determine the slope of the line
The slope is ____

Answer 1

To find the slope of the line, we can use similar triangles.

In the image, we can see two similar triangles formed by the two right triangles with sides labeled 12, 5, and x and 20, 5, and y. The sides 5 and x correspond to each other in the similar triangles, as do the sides 5 and y.

Using the properties of similar triangles, we can set up a proportion:

12/5 = 20/y

Cross multiplying, we get:

12y = 5 * 20
12y = 100
y = 100/12
y = 8.3333

Therefore, the slope of the line is approximately 8.3333.