Lesson Example Discussion Quiz: Class Homework |
Step-3 |
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 |
If the slope of a line joining A(4 , x) and B(−5 , 9) is 1 then find x. |
|
2 |
Formula: |
The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula |
m = \$ (y2 - y1) / (x2 - x1) \$ |
3 |
Step |
In this case, we have the points A(4, x) and B(-5, 9), so the slope (m) is |
m = \$(9 - x) / (-5 - 4)\$ |
4 |
Step |
Since we know that the slope is 1, we can set the equation equal to 1 and solve for x |
\$1 = (9 - x) / (-5 - 4)\$ \$1 = (9 - x) / (-9)\$ |
5 |
Step |
Cross-multiply to get rid of the fraction: |
\$1 times (-9) = 9 - x\$ \$-9 - 9 = - x\$ ⇒ x = 18 |
6 |
Step |
Therefore, if the slope of a line joining A(4,x) and B(-5,9) is 1 then x = 18 |
|
7 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
8 |
Choice.A |
Correct representation of x value to satisfy given slope condition for line AB(4, x) and (-5, 9) = 1 |
18 |
9 |
Choice.B |
This is incorrect solution obtained from the calculations |
14 |
10 |
Choice.C |
This is incorrect solution obtained from the calculations |
15 |
11 |
Choice.D |
This is incorrect solution obtained from the calculations |
17 |
12 |
Answer |
Option |
A |
13 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 20-May-2024 09:20AM EST