Math Problem Statement
Answer
Multiple math questions involving solving linear equations, determining slopes, interpreting graphs, and applying algebraic formulas.
Solution
Let's go through and solve the questions step by step:
10. What is the value of y in the equation given that ?
- Answer: D. 4
11. Which equation below satisfies the ordered pair (-2, -7)?
- A. :
- B. : Answer: B. 11x - y = -15
12. In the equation , when , what would be the corresponding value of ?
- 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:
- Answer: A. 0
16. Determine the slope of the equation .
- Rewrite in slope-intercept form: Answer: A.
17. Which of the following pair of points has a slope of 5?
- Using the slope formula on each pair:
- A. 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. Answer: C.
19. Determine the slope and y-intercept of the line .
- Rewrite as , so slope and y-intercept . Answer: B.
20. In the equation , what is the slope?
- Rewrite as , so slope . Answer: D. -6
21. Which of the following statements is correct about the two given linear equations?
- → (slope )
- → (slope ) 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 number of sessions?
- The equation is . **Answer: A. (y
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope of a Line
Graph Interpretation
Algebraic Manipulation
Formulas
Slope Formula: m = (y2 - y1) / (x2 - x1)
Linear Equation: y = mx + b
Rewriting equations into slope-intercept form
Solving systems of linear equations
Theorems
Slope-Intercept Theorem
Line Equation Theorem
Graphing Linear Equations
Suitable Grade Level
Grades 8-10
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