Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Slopes & Lines |
Grade: 1400-a Lesson: S3-L4 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the length of the line segment between points (2, 4) and (5, 8). |
|
2 |
Step |
Let us the given points (x1 , y1) & (x2 , y2) |
(2 , 4) & (5 , 8) |
3 |
Formula: |
To find the length of the line segment between two points (x1, y1) and (x2, y2) in a coordinate system, you can use the distance formula |
\$"d" = \sqrt ((x2 - x1)^2 + (y2 - y1)^2)\$ |
4 |
Step |
In this case, the points are (2, 4) and (5, 8). Let’s plug in the values |
\$"d" = \sqrt((5 - 2)^2 + (8 - 4)^2)\$ \$"d" = \sqrt((3)^2 + (4)^2)\$ \$"d" = \sqrt (9 + 16)\$ |
5 |
Step |
After Simplify the equation |
\$"d" = \sqrt(25)\$ \$"d" = 5\$ |
6 |
Step |
So, the length of the line segment between points (2, 4) and (5, 8) is 5 units. |
|
7 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
8 |
Choice.A |
This is incorrect answer. The distance between the points is greater than 2 |
2 |
9 |
Choice.B |
It is correct. The distance formula accurately calculates the length of the line segment between the given points |
5 |
10 |
Choice.C |
This is incorrect answer. The distance between the points is greater than 4 |
4 |
11 |
Choice.D |
This is incorrect answer. The distance between the points is greater than 3 |
3 |
12 |
Answer |
Option |
B |
13 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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