Let's re-evaluate the points given for the multiple-choice question to determine which of them lie on the line representing Steven's savings account balance over time. The equation of the line is:

\[ \text{Balance} = 400 \times \text{Month} \]

We will check each point to see if it satisfies this equation:

1. For (22, 8400):
\[ \text{Balance} = 400 \times 22 = 8800 \]
\[ 8400 \neq 8800 \]
   So, (22, 8400) does not lie on the line.

2. For (23, 9200):
\[ \text{Balance} = 400 \times 23 = 9200 \]
\[ 9200 = 9200 \]
   So, (23, 9200) lies on the line.

3. For (24, 8800):
\[ \text{Balance} = 400 \times 24 = 9600 \]
\[ 8800 \neq 9600 \]
   So, (24, 8800) does not lie on the line.

4. For (26, 10400):
\[ \text{Balance} = 400 \times 26 = 10400 \]
\[ 10400 = 10400 \]
   So, (26, 10400) lies on the line.

5. For (27, 10600):
\[ \text{Balance} = 400 \times 27 = 10800 \]
\[ 10600 \neq 10800 \]
   So, (27, 10600) does not lie on the line.

Therefore, the points that lie on the resulting line are:

- (23, 9200)
- (26, 10400)

Would you like more details or have any questions about this?

Here are 5 numbered questions you can ask:
1. How do you find the slope of a line from two points?
2. What is the importance of the y-intercept in a linear equation?
3. How can you use linear equations to make predictions?
4. How do you interpret the slope in the context of real-life problems?
5. What are some common mistakes to avoid when working with linear equations?

Tip: When dealing with linear equations, always check your calculations by substituting points back into the equation to ensure accuracy.

Explore how to identify points lying on a line using Steven's savings account balance problem. Detailed calculations show which points satisfy the linear equation 400 * Month. Suitable for students in Grades 7-9.

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