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Let's go through each part of the question in your uploaded image:

### Question 1

1. **Copy and complete the table for the linear pattern**  
   The table provided has:
   
   | IN (x) | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
   |--------|----|----|----|----|---|---|---|---|---|
   | OUT (y)| -7 | -3 |   |   |   |   |   |   |   |
   
   To complete this table, we need to identify the pattern.

2. **Answer sub-questions based on the table:**
   - **a)** What is the y-intercept? What is the pattern of growth?
   - **b)** Find the rule for this line.
   - **c)** If the output number (y) is -52, what was the input number (x)?

### Question 2

1. **Graph the points in the table at right and draw a line. Then, find three different ratios to describe the slope of this line.**
   The table of points given is:
   
   | x |  y  |
   |---|-----|
   | 0 |  1  |
   | 2 |  6  |
   | 5 | 13.5|
   | -2| -4  |
   | -4| -9  |

I’ll solve each part and provide explanations for the patterns, rules, and graph interpretations. Shall I continue with the detailed solution for each sub-part?

Copy and complete the table for the linear pattern. Answer sub-questions based on the table. Graph the points in the table and find ratios to describe the slope.

Solve a problem involving linear patterns and slope analysis. Complete the table, find the y-intercept, pattern of growth, and graph points to determine slope ratios. Suitable for Grades 6-8.

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