Slope

Illustrate the Slope of the Line

JUN DESCARGAR

Illustrate the Slope of the Line

JUN DESCARGAR

​Direction: Encircle the letter of the correct answer.

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

​a. Point

b. Line

c. Slope

d. Graph

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. Standard Form

b. Slope – intercept Form

c. Point – slope Form

d. General Form

Illustrate the Slope of the Line

JUN DESCARGAR

​For item numbers 3 – 6, refer to the figure at the right.

3. Which line has a positive slope?

​a. s

b. m

c. z

d. q

Illustrate the Slope of the Line

JUN DESCARGAR

​For item numbers 3 – 6, refer to the figure at the right.

4. Which line has a negative slope?

​a. s

b. m

c. z

d. q

Illustrate the Slope of the Line

JUN DESCARGAR

​For item numbers 3 – 6, refer to the figure at the right.

5. Which line has an undefined slope?

​a. s

b. m

c. z

d. q

Illustrate the Slope of the Line

JUN DESCARGAR

​For item numbers 3 – 6, refer to the figure at the right.

6. Which line has a zero slope?

​a. s

b. m

c. z

d. q

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. 1

b. 0

c. -1

d. undefined

Illustrate the Slope of the Line

JUN DESCARGAR

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

Illustrate the Slope of the Line

JUN DESCARGAR

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

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a) 1

​

​b) 2

​c) -1

​

​b) -2

Illustrate the Slope of the Line

JUN DESCARGAR

​A. 5

B. 3

C. 2

D. 1

Illustrate the Slope of the Line

JUN DESCARGAR

​12. Find the slope of the given points (-1, 1)

and (0, 2).

​A. 1

B. 0

C. -1

D. Undefined

Illustrate the Slope of the Line

JUN DESCARGAR

​13. Find the slope of the line 2y – 3 = 8x + 7.

​A. 4

B. -4

C. 5

D. -5

Illustrate the Slope of the Line

JUN DESCARGAR

​14. Find the slope given the graph below.

Illustrate the Slope of the Line

JUN DESCARGAR

​15. Find the value of 𝑥 such that the slope of the line containing the points, A (9, x) and B (6, -2) is -1.

​A. 1

B. 0

C. -1

D. -2

Illustrate the Slope of the Line

JUN DESCARGAR

​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) __________

Illustrate the Slope of the Line

JUN DESCARGAR

​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 __________

Illustrate the Slope of the Line

JUN DESCARGAR

​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 __________

Illustrate the Slope of the Line

JUN DESCARGAR

​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?

​_______________

​_______________

​_______________

Illustrate the Slope of the Line

JUN DESCARGAR

​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?

​_______________

​_______________

​_______________

Illustrate the Slope of the Line

JUN DESCARGAR

​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) __________

Illustrate the Slope of the Line

JUN DESCARGAR

​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 __________

Illustrate the Slope of the Line

JUN DESCARGAR

​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 __________

Illustrate the Slope of the Line

JUN DESCARGAR

​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.

Illustrate the Slope of the Line

JUN DESCARGAR

​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.

​_________

​

​

​_________

​

​

​_________

Illustrate the Slope of the Line

JUN DESCARGAR

​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?

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. 500

b. 2

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. 4

b. -4

c. 2

d. -2

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. -4

b. 0

c. Undefined

d. No Slope

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. 0

b. 3

c. 7

d. cannot be determined

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. (-4, 0) and (-4, 2)

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

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

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

Illustrate the Slope of the Line

JUN DESCARGAR

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

Illustrate the Slope of the Line

JUN DESCARGAR

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

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. y – 2 = 0

​b. x + 8 = 0​

​c. x + 4y = 0

d. 3x – 2y = 0

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. 1

b. 0

c. -1

d. Undefined

Illustrate the Slope of the Line

JUN DESCARGAR

​a. 5

b. 3

c. 2

d. 1

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. -7

b. -8

c. -9

d. -10

Illustrate the Slope of the Line

JUN DESCARGAR

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

​a. 1

b. -1

c. -5

d. no slope

Illustrate the Slope of the Line

JUN DESCARGAR

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?

​

​c. 5

d. 15

Illustrate the Slope of the Line

JUN DESCARGAR

​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).

Illustrate the Slope of the Line

JUN DESCARGAR

​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.