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Worksheets

slope of a line

Total questions: 50

Worksheet time: 50mins

Name
Class
Date
1.

Find the slope of the line that passes through the points (2,7) and (2,-6).

a)

1

b)

0

c)

undefined

d)

-1

2.

Find the slope of the line that passes through (10, -1) and (-8 , 6)

a)

2/5

b)

– 7/18

c)

−18 /7

d)

5/ 2

3.

Find the slope of the line

a)

1

b)

1/2

c)

-2

d)

-1/2

4.

Find the slope of the table below.

a)

5

b)

1

c)

1/5

d)

10

5.

Tell whether the slope of the line is positive, negative, zero, or undefined

a)

positive

b)

zero

c)

negative

d)

undefined

6.

Find the slope of the line given by its equation 2x+4y = 10

a)

1/4

b)

1/2

c)

-1/2

d)

-1/4

7.

A line with slope equal to five and the y intercept equal to seven would have which form if written algebraically?

a)

y= 7x+5

b)

y= 5x+7

c)

y= 12x

d)

y= 5+ 7x

8.

What is the y- intercept of the line given by the equation y= 3x+4

a)

3

b)

4

c)

0

d)

-3

9.

What is the equation of line l in the figure below?

a)

y= -3/2 x+2

b)

y= -3/2 x+3

c)

y= -2/3 x+3

d)

y= -2/3 x+2

10.

What is the equation of the line?In the figure below, if line l has a slope of -2, what is the y- intercept of l?

a)

7

b)

8

c)

9

d)

10

11.

Which of the following is the graph of the equation y= 2x-5 in the xy plane?

a)
b)
c)
d)
12.

What is the equation of the line with the slope 2 that has y intercept 5

a)

y= 5x+2

b)

y= 2x+5

c)

y= 5/2 x +3

d)

2x+ y= 5

13.

Transform the equation 3x+ 4y= 8 in slope intercept form?

a)

y = -3/4 x + 2

b)

y= 3/4 x+ 2

c)

y=-4/3 x-2

d)

y= 4/3 x +2

14.

Which line passes through the points (3, 4) and (8, -1)?

a)

y = -x + 7

b)

y = x + 7

c)

y = -x−1

d)

y = x−1

15.

Determine the slope and from the following equation y = (3/2)x + 3

a)

3

b)

3/2

c)

2/3

d)

1/3

16.

As x increases in the equation 5x + y = 7, the value of y

a)

increases

b)

decreases

c)

does not change

d)

cannot be determined

17.

A boy rents a bicycle in the park. He has to pay a fixed amount of Php 10 and an additional cost of Php 15 per hour or a fraction of an hour, thereafter. If y refers to the cost and x refers to the number of hours, what is the correct mathematical model of the situation given in item 18?

a)

y = 15x + 10

b)

y = 10x + 15

c)

y = 15x – 10

d)

y = 10x – 15

18.

Which line passes through the points (3, 4) and (8, -1)?

a)

y = -x + 7

b)

y = -x−1

c)

y = x + 7

d)

y = x−1

19.

What will happen to the value of y in the equation 2x + 3y = 12 when the value of x decreases?

a)

The value of y will increase

b)

The value of y will decrease.

c)

The value of y will not change

d)

The value of y cannot be determined

20.

Three steps to rewrite 3x – 4y = 7 into y = mx + b are shown below. What is the correct order of these steps?

a)

II, III, I

b)

I, II, III

c)

III, II, I

d)

II, I, III

21.

Which of the following is the formula in finding the slope of a line passing through two points?

a)
b)
c)
d)
22.

Determine the slope of the line 3x + y = 7

a)

3

b)

-3

c)

1/3

d)

-1/3

23.

Which of the following is the correct representation of a slope of a line?

a)
b)
c)
d)
24.

A survey of out-of-school youth in your barangay was conducted. From year 2008 to 2012, the number of out-of-school youths was tallied and was observed to increase at a constant rate as shown in the table below. If the number of years after 2008 is represented by x, what mathematical model can you make to represent the data?

a)

y = -7x + 30

b)

y = -7x + 23

c)

y = 7x + 30

d)

y = 7x + 23

25.

If the pattern continues, can you predict the number of out-of-school youths by year 2020?

a)

Yes, the number of out-of-school youths by year 2020 is 107

b)

Yes, the number of out-of-school youths by year 2020 is 114.

c)

No, because it is not stipulated in the problem.

d)

No, because the data is insufficient.

26.

The number of out-of-school youths has continued to increase. If you are the SK Chairman, what would be the best action to minimize the growing number of out-of-school youths?

a)

Conduct a job fair

b)

Create a sports project.

c)

Let them work in your barangay

d)

Encourage them to enroll in Alternative Learning System

27.

What is the slope of the line whose equation is y = −2x + 7?

a)

7

b)

2

c)

-2

d)

-7/2

28.

What is the slope of a line that includes the points (−5, 1) and (−2, 3)

a)

-2/3

b)

-2/7

c)

2/3

d)

-3/2

29.

The slope of the line that contains the points (3, 2) and (−8, 2) is 0 . What will be the line of the graph?

a)

Horizontal line

b)

Vertical line

c)

diagonal line

d)

none of the above

30.

What is the slope of the given graph below

a)

Positive slope

b)

Negative slope

c)

Slope= 0

d)

Slope is undefined

31.

In the equation y = 2x + 1, what is the y intercept ?

a)

2

b)

1

c)

-2

d)

-1

32.

What is slope-intercept form of the equation of a line?

a)

y = kx

b)

y = mx + b

c)

y - y1 = m (x - x1)

d)

Ax + By = C

33.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

macaroni

c)

slope

d)

none of the above

34.

If m = 1/2 and b = -4, what is the correct equation in slope-intercept form?

a)

y=1/2x+4

b)

y=1/2-4

c)

y=1/2x-4

d)

y=4x+1/2

35.

What is the slope in the picture?

a)

positive

b)

zero

c)

negative

d)

undefined

36.

What is the y-intercept of the equation y = 6x – 4

a)

6/1

b)

-4

c)

1/6

d)

4

37.

What is the slope of the line that passes through the following points: (7, 10) and (10, 9).

a)

-1

b)

4

c)

-1/3

d)

3

38.

Find the slope of the line that passes through (3,2) and (1,10).

a)

8

b)

-4

c)

-1/4

d)

6

39.

What does 'b" represent in y=mx+b

a)

y intercept

b)

slope

c)

x intercept

d)

none of the above

40.

Determine the slope and y-intercept from the following equation y = (3/2)x + 3

a)

slope: 5 , y-intercept: (0, 3)

b)

slope: 4, y-intercept: (0, 3/2)

c)

slope: 3/2, y-intercept: (0, 3)

d)

slope: 1/5, y-intercept: (0, 5)

41.

Slope is known as 

 rise\frac{rise}{ }  

a)

Run

b)

Fall

c)

Rise

d)

none

42.

Slope is written as a(n) ________.

a)

Ordered pair (x,y)

b)

Fraction

c)

Decimal

d)

Quadratic equation

43.

The line pictured has a(n) ______ slope

a)

Positive

b)

Undefined

c)

Negative

d)

Zero

44.

What is the slope of the line represented by the equation y = 3x + 6?

a)

6

b)

2

c)

3

d)

1/2

45.

What is the slope of the line represented by the equation y = 7 - x?

a)

7

b)

1

c)

0

d)

-1

46.

What is the slope of the line represented by the equation x = 5?

a)

0

b)

undefined

c)

1

d)

5

47.

What is the y-intercept of the line represented by the equation y = 6x?

a)

6

b)

-6

c)

0

d)

1

48.

What is the y-intercept of the line represented by the equation y = 8?

a)

8

b)

-8

c)

0

d)

there is no y intercept

49.

The graph of x = -1 would be a horizontal line.

a)

true

b)

false

c)

maybe

d)

none of the above

50.

Which equation represents the graph pictured?

a)

y = -2

b)

y = -2x

c)

x = -2

d)

y = x - 2