unit 3 lesson 5
slope as unit rate practice
use the image to answer the question
use similar triangles to determine the slope of the line.
(0,0), (1,2),(2,4),(3,6),(4,8)
the slope is _
To determine the slope of the line, we need to find the change in y-coordinate (vertical) divided by the change in x-coordinate (horizontal) between any two points on the line.
Let's take the points (0,0) and (1,2) as our two points. The change in y-coordinate is 2 - 0 = 2 and the change in x-coordinate is 1 - 0 = 1.
Therefore, the slope of the line is 2/1 or simply 2.
To determine the slope of the line, we need to calculate the change in y (vertical change) divided by the change in x (horizontal change). Let's calculate the slope using the given points:
(0, 0), (1, 2), (2, 4), (3, 6), (4, 8)
We'll use the first two points, (0, 0) and (1, 2), to find the slope.
Vertical change (change in y) = 2 - 0 = 2
Horizontal change (change in x) = 1 - 0 = 1
Now, we can calculate the slope:
Slope = Vertical change / Horizontal change
Slope = 2 / 1
Therefore, the slope of the line is 2.
To determine the slope of the line using similar triangles, we need to find the change in y-coordinates and the change in x-coordinates between any two points on the line. Then, we divide the change in y-coordinates by the change in x-coordinates to get the slope.
Let's choose two points on the line, say (0,0) and (1,2), and calculate the slope using the method described above.
Change in y-coordinates = 2 - 0 = 2
Change in x-coordinates = 1 - 0 = 1
Therefore, the slope between the points (0,0) and (1,2) is 2/1, or simply 2.
You can repeat this process for any two points on the line to find the slope.