unit 3 lesson 5

Question

slope as unit rate practice

use the image to answer the question
use similar triangles to determine the slope of the line. write your answer in fraction form.

(0,0), (2,1), (4,2), (6,3), (8,4)

the slope is _

Answer 1

To determine the slope using similar triangles, we can compare the change in the y-coordinate to the change in the x-coordinate.

Starting with point (0,0), we can see that as x increases by 2 units, y increases by 1 unit.

So, the slope between (0,0) and (2,1) is:
Change in y / Change in x = 1/2.

We can observe the same pattern for the other points:
(2,1) and (4,2) have a slope of 1/2,
(4,2) and (6,3) have a slope of 1/2,
(6,3) and (8,4) have a slope of 1/2.

Therefore, the slope of the line connecting these points is 1/2.