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