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Let's go through and solve the questions step by step:

### 10. What is the value of y in the equation \(x - y = 4\) given that \(x = 8\)?
- \(8 - y = 4 \Rightarrow y = 8 - 4 = 4\)
  **Answer: D. 4**

### 11. Which equation below satisfies the ordered pair (-2, -7)?
- A. \(2y = x + 17\): \(2(-7) = -2 + 17 \Rightarrow -14 \neq 15\)
- B. \(11x - y = -15\): \(11(-2) - (-7) = -15 \Rightarrow -22 + 7 = -15 \)
  **Answer: B. 11x - y = -15**

### 12. In the equation \(2x + 3y = 7\), when \(y = 1\), what would be the corresponding value of \(x\)?
- \(2x + 3(1) = 7 \Rightarrow 2x + 3 = 7 \Rightarrow 2x = 4 \Rightarrow x = 2\)
  **Answer: B. 2**

### 13. Which of the following statements does **NOT** describe a slope?
- A. It can be found using a graph (True).
- B. It can be determined using a point (True).
- C. It is referred to as the rise over run (True).
- D. It describes the steepness of a line (True).
  **Answer: B. It can be determined using a point** (as slope typically uses two points).

### 14. What is the slope of a line that has coordinates (5,18) and (5,-12)?
- Since the x-coordinates are the same, this is a vertical line, and the slope is undefined.
  **Answer: C. undefined**

### 15. Determine the slope of a line that passes through the points (8,3) and (-3,3).
- Slope formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
- \(m = \frac{3 - 3}{-3 - 8} = 0\)
  **Answer: A. 0**

### 16. Determine the slope of the equation \(8x - 12y = 6\).
- Rewrite in slope-intercept form: \(12y = 8x - 6 \Rightarrow y = \frac{8}{12}x - \frac{6}{12} = \frac{2}{3}x - \frac{1}{2}\)
  **Answer: A. \(\frac{2}{3}\)**

### 17. Which of the following pair of points has a slope of 5?
- Using the slope formula on each pair:
  - A. \(m = \frac{10 - 5}{3 - 2} = \frac{5}{1} = 5\)
  **Answer: A. (2,5) and (3,10)**

### 18. What is the slope of the line on the graph at the right?
- The slope can be calculated using points from the graph.
  \(m = \frac{-3 - 0}{0 - 4} = \frac{-3}{-4} = \frac{3}{4}\)
  **Answer: C. \(\frac{3}{4}\)**

### 19. Determine the slope and y-intercept of the line \(2x = y + 4\).
- Rewrite as \(y = 2x - 4\), so slope \(m = 2\) and y-intercept \(b = -4\).
  **Answer: B. \(m = 2; b = -4\)**

### 20. In the equation \(6x + y = 2\), what is the slope?
- Rewrite as \(y = -6x + 2\), so slope \(m = -6\).
  **Answer: D. -6**

### 21. Which of the following statements is correct about the two given linear equations?
  1. \(3x - 6y = 15\) → \(y = \frac{1}{2}x - \frac{5}{2}\) (slope \(\frac{1}{2}\))
  2. \(8x - 4y = 12\) → \(y = 2x - 3\) (slope \(2\))
  **Answer: D. The slope of equation 1 is less than the slope of equation 2.**

### 22. Ana decided to join a Zumba session. The initial fee is Php 120, and a Php 25 fee for each session. Which of the following equations model the amount your sister will pay in \(x\) number of sessions?
- The equation is \(y = 25x + 120\).
  **Answer: A. \(y

Multiple math questions involving solving linear equations, determining slopes, interpreting graphs, and applying algebraic formulas.

Solve problems involving linear equations, determining slopes, and interpreting graphs. This set covers fundamental algebra concepts, including solving equations, calculating slopes, and applying algebraic formulas for Grades 8-10.

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