Finding Slope in Algebra

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​In this module, you will be able to:

 write the linear equation ax + by = c in the form y = mx +b and vice versa. M8AL-If-1

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Specifically, you are expected to:

1. write linear equations from standard form ax + by = c to slope- intercept form y = mx +b; and

2. write linear equations from slope- intercept form y = mx +b to standard form ax + by = c.

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​Direction: Encircle the letter of the correct answer.

1. What is the standard form of y = -3x + 5?

​a. 3x – y = -5

b. 3x + y = -5

c. 3x – y = 5

d. 3x + y = 5

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​2. What is the slope intercept form of 3x – 2y = 9?

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​3. Which of the following is equivalent to

4x + 2y = -8?

​a. y = -2x - 4

b. y = 2x - 4

c. y = 2x + 4

d. y = -2x + 4

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​a. 3x + 4y = 4

b. 3x + 4y = -4

c. 3x – 4y = 4

d. 3x – 4y = -4

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

5. What is the standard form of y = 2x - 10?

​a. 2x – y = -10

b. 2x – y = 10

c. 2x + y = -10

d. 2x + y = 10

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

6. What is the slope intercept form of 2x – 3y = 9?

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

7. Which of the following is equivalent to 3x – y = 6?

​a. y = -3x - 6

b. y = 3x - 6

c. y = 3x + 6

d. y = -3x + 6

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​a. x + 4y = 4

b. x + 4y = -4

c. x – 4y = 4

d. x – 4y = -4

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FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​a. x – 3y = -12

b. x – 3y = 12

c. x + 3y = -12

d. x + 3y = 12

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FIND THE SLOPE OF THE LINE

JUN DESCARGAR

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

11. Which of the following equations in standard form has values of 𝐴=3, 𝐵=−3 and 𝐶=−2?

​a. −3𝑥+3𝑦=−2

b. 3𝑥−3𝑦=−2

c. 3𝑥−2𝑦=−3

d. −3𝑥−2𝑦=3

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FIND THE SLOPE OF THE LINE

JUN DESCARGAR

12. What is the value of A in the standard form 2𝑥+3𝑦=−1?

​a. -1

b. 1

c. 2

d. 3

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FIND THE SLOPE OF THE LINE

JUN DESCARGAR

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

14. Which of the following equation is NOT in standard form?

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

15. Which of the following equation is NOT in slope intercept form?

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

Activity 1: What’s My Slope?

Direction: Find the slope of the line given the following.

​____1. 2x + 5y = 15

____2. x + 4y = 9

____3. (3, -1) and (-2, 5)

____4. (2, 0) and (-4, -5)

​____5._____________

​

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

Activity 2: Let’s order pizza!

Jhenesse was craving for pizza as she rewarded herself for a job well done. She went to TIA NINA, a pizza parlor in General Santos City. She paid Php250 for the regular pizza and Php 5 for each additional slice of meat toppings. At the end, she paid Php 340 for her pizza. How many slices of meat topping were added to it?

​Questions:

1. What is the linear equation that will represent the cost to be paid for:

a. regular pizza? _______________________________________

b. with toppings? _______________________________________

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​Activity 3: Let’s Match Them!

Match the linear equation in standard form in Column A with the equivalent linear equation in slope- intercept form in Column B. Choose the letter of the correct answer and write it on the space provided before each number.

​COLUMN A COLUMN B

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​Activity 4: Let’s Write It

A. Write the following linear equations in the form Ax + By = C.

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​B. Write the following linear equations in the form y = mx + b.

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

​Activity 5: Let’s Buy It

Rylee wants to buy shirts online. Each shirt costs Php 200. The shipping cost is

Php 120.Write the linear equation representing the following:

​a. total cost of the shirt written in slope-intercept form?

____________________

b. total cost of the shirt written in standard form?

____________________

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

I hope you had a good time going over this module. For you to determine how much you have learned, please answer the questions by choosing the letter of the best answer. Encircle the letter of your chosen answer.

1. What is the standard form of y = 4x - 7?

​a. 4x – y = -7

b. 4x – y = 7

c. 4x + y = -7

d. 4x + y = 7

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

2. What is the slope intercept form of 3x – 5y = 6?

​

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

3. Which of the following is equivalent to 3x + 3y = 6?

​

a. y = -x - 2

b. y = x - 2

c. y = x + 2

d. y = -x + 2​

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

a. x + 2y = 16

b. x + 2y = -16

c. x – 2y = 16

d. x – 2y = -16​

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

5. What is the standard form of y = 3x - 3?

​

a. 3x – y = -3

b. 3x – y = 3

c. 3x + y = -3

d. 3x + y = 3

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

6. What is the slope intercept form of x – 4y = 8?

​

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

7. Which of the following is equivalent to 2x + 2y = -4?

​

a. y = -x - 2

b. y = x - 2

c. y = x + 2

d. y = -x + 2

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

a. x + 5y = 1

b. x + 5y = -1

c. x – 5y = 1

d. x – 5y = -1

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JUN DESCARGAR

a. x – 2y = -4

b. x – 2y = 4

c. x + 2y = -4

d. x + 2y = 4

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

10. What is the slope intercept form of 5𝑥+6𝑦=6?

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

11. Which of the following equations in standard form has values of 𝐴=2, 𝐵=−2 and 𝐶=−1?

a. −2𝑥+2𝑦=−1

b. 2𝑥−2𝑦=−1

c. 2𝑥−𝑦=−2

d. −2𝑥−𝑦=2

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

12. What is the value of A in the standard form 6𝑥+7𝑦=−8?

a. 6

b. 7

c. 8

d. -8

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

13. What is the constant in the equation 𝑥−2𝑦=0?

a. 1

b. 2

c.-2

d. 0

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

14. Which of the following equation is NOT in standard form?

FIND THE SLOPE OF THE LINE

JUN DESCARGAR

15. Which of the following equation is NOT in slope intercept form?