Slope of Line

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​Direction: Encircle the letter of the correct answer.

1. Which of the following words is essential in finding the missing coordinate?

b. Line

c. Slope

d. Graph

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​2. What do you call the equation of a line in the form of y = mx + b?

b. Slope – intercept Form

c. Point – slope Form

d. General Form

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3. Which line has a positive slope?

b. m

c. z

d. q

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4. Which line has a negative slope?

b. m

c. z

d. q

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5. Which line has an undefined slope?

b. m

c. z

d. q

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6. Which line has a zero slope?

b. m

c. z

d. q

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​7. Find the slope of the line that passes through the points (0, 8) and (8, 0).

b. 0

c. -1

d. undefined

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8. What is the slope of the roof indicated at the right?

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9. Determine the slope of the line 2y – 3x = 7.

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10. Find the slope given the graph at the right.

​

​b) 2

​

​b) -2

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B. 3

C. 2

D. 1

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B. 0

C. -1

D. Undefined

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B. -4

C. 5

D. -5

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B. 0

C. -1

D. -2

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​Activity 1: What is your point?

Direction: Answer the following questions correctly based on the given figures at the right. Write your answers on the space provided.

​1. Name the point that has the

coordinates of:

a. (5, 0) __________

b. (-5, 4) __________

c. (-2, -4) __________

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​Activity 1: What is your point?

Direction: Answer the following questions correctly based on the given figures at the right. Write your answers on the space provided.

​2. Write the coordinates of each point.

a. H __________

b. E __________

c. G __________

d. F __________

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​Activity 1: What is your point?

Direction: Answer the following questions correctly based on the given figures at the right. Write your answers on the space provided.

3. In what quadrant/axis is each point located?.

a. C __________

b. B __________

c. L __________

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​Activity 2: Pedal Up, Speed On

Due to COVID-19 pandemic, families are mandated to stay at home. To buy

his family’s essential needs, Solaiman is using his bike. He goes up two different hills in order for him to reach the nearest convenience store.

​Probing questions:

1. Which hill will be harder for Solaiman to pedal up?

​_______________

​_______________

​_______________

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​Activity 2: Pedal Up, Speed On

Due to COVID-19 pandemic, families are mandated to stay at home. To buy

his family’s essential needs, Solaiman is using his bike. He goes up two different hills in order for him to reach the nearest convenience store.

​Probing questions:

2. Which hill will Solaiman gain more speed if he is going down two hills?

​_______________

​_______________

​_______________

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​Activity 4: Do It On Your Own!

Direction: Solve the following problems. Write your answers on the space provided.

​A. Find the slope of the line containing the following points.

1. (3, 7) and (5, 19) __________

2. (4, 15) and (3, 21) __________

3. (5, -2) and (-5, -4) __________

4. (3, 4) and (-6, -2) __________

5. (-1, 4) and (4, -3) __________

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​Activity 4: Do It On Your Own!

Direction: Solve the following problems. Write your answers on the space provided.

​B. Find the slope of the following equations.

1. 𝑦=2𝑥−5 __________

2. 𝑦=−3𝑥+7 __________

3. 2x−3y=5 __________

4. 7𝑥−3𝑦−10=0 __________

5. y = 5 __________

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​Activity 4: Do It On Your Own!

Direction: Solve the following problems. Write your answers on the space provided.

​C. Find the slope of the following graphs given at the right.

​1. Orange Line __________

2. Blue Line __________

3. Red Line __________

4. Violet Line __________

5. Green Line __________

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​Activity 5: Level Up!

Direction: Read, analyze and solve the following problems.

1. A skateboard ramp has a rise of 15 inches and a run of 54 inches. What is its slope? Show your complete solution below.

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​2. The graph below shows Babo Monera weekly sales of Lumpiang Tauge at the school canteen.

​a. Which week did the greatest increase in sales occur?

​b. Which week did the greatest decrease in sale occur?

​c. Name the week in which the sales did not change.

​_________

​

​

​_________

​

​

​_________

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​Let us test how far you have understood the lessons by answering the following questions.

Direction: Encircle the letter of the correct answer.

1. Which of the following equations is not true about slope?

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​3. Find the slope of the figure at the right.

b. 2

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​4. Find the slope of the line 8x – 4y = -12.

b. -4

c. 2

d. -2

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5. Find the slope given the graph at the right.

b. 0

c. Undefined

d. No Slope

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​6. Find x so that the slope of the line containing the points A(3, -3) and B(x, 7) is undefined.

b. 3

c. 7

d. cannot be determined

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7. Which of the following pair of points has a slope of 4?

b. (2, -4) and (0, 4)

c. (0, -4) and (2, 4)

d. (4, 2) and (4, 0)

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8. Find the slope of the line 4y – 3x + 3 = 0.

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9. Find the slope of the given the graph below.

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10. Which of the following equations has an undefined slope?

​b. x + 8 = 0​

​c. x + 4y = 0

d. 3x – 2y = 0

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11. Given the line y = mx + 7 that passes through the point (6, 13), what is the slope of the line?

b. 0

c. -1

d. Undefined

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b. 3

c. 2

d. 1

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13. Determine x, so that the three points (x, – 3), (9, 1), and (13, 2) will lie on a straight line..

b. -8

c. -9

d. -10

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14. What is the slope of the line crosses the y – axis at 10 and includes (6, 4)?

b. -1

c. -5

d. no slope

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15. A ladder is placed against a wall. The foot of a ladder is 3 feet away from the wall and top of the ladder touches the wall at 15 feet off the ground. What is the slope of the ladder?

​

d. 15

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​Direction: On the grid paper provided below, mark the points that would lead you to the treasure. You will be guided by applying the slopes below the point where you last stop.

​Procedure:

A. Mark your starting point (0, 0).

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​B. With the aid of the slopes starting with number 1, move to the next point.

A correct solution will trace the route to the treasure.

​1) 4 4) 3 / 2 7) 1 / 4

2) 3 / 2 5) – 5 / 3 8) -1

3) 1 / 2 6) 8 / 3 9) 3 / 2

​C. Give the coordinates of each stopping point.

​D. Write your experience in finding the treasure especially when using positive and negative slopes.