Free Printable Coordinate geometry of the line

1.

What is the slope of the line shown?

a)

6/11

b)

-6/11

c)

-11/6

d)

11/6

2.

Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.

a)

No, their slopes are not opposite reciprocals.

b)

No, their slopes are not equal.

c)

Yes, their slopes are opposite reciprocals.

d)

Yes, their slopes are equal.

3.

What formula would you use to show lengths are equal?

a)

Slope Formula

b)

Distance Formula

c)

Midpoint Formula

4.

Which formula is shown?

a)

Slope

b)

Distance

c)

Midpoint

5.

Which formula would you use to show two lines are perpendicular?

a)

Slope

b)

Midpoint

c)

Distance

6.

What is the formula for midpoint?

a)

b)

c)

d)

a²+b²=c²

7.

What formula is shown?

a)

slope

b)

distance

c)

midpoint

d)

Pythagorean Theorm

8.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

9.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

10.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

11.

Find the distance between the points:
(5,3) (2,3)

a)

3

b)

7

c)

10

12.

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

a)

(0, -1)

b)

(6, 1)

c)

(1, 6)

d)

(0, 1)

13.

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

a)

slope

b)

distance

c)

midpoint

d)

Pythagorean Theorm

14.

What is the distance of CD?

a)

10

b)

√13

c)

5

d)

4√5

15.

What are the coordinates of point X?

a)

(5,2)

b)

(2,3)

c)

(4,4)

d)

(6,6)

16.

Which axis runs vertically (up and down)?

a)

x

b)

Y

17.

Which axis runs horizontally (side to side)?

a)

x

b)

y

18.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

19.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

20.

What are the coordinates of L?

a)

(6,6)

b)

(2,5)

c)

(2,3)

d)

(5,2)

21.

What are the coordinates of N?

a)

(7,6)

b)

(5,5)

c)

(6,6)

d)

(7,7)

22.

The ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

d)

home

23.

What is the ordered pair for the letter A?

a)

(2, 4)

b)

(4, 2)

c)

(-2, 4)

d)

(2, -4)

24.

Where is R on the coordinate plane?

a)

(4,6)

b)

(4,2)

c)

(6,4)

d)

(9,0)

25.

How would you plot point (7,2) correctly on the coordinate grid?

a)

Begin at the origin. Go up 7 units and to the right 2 units.

b)

Begin at the origin. Go up 2 units and to the right 7 units.

c)

Begin at the origin. Go to the right 2 units and up 7 units.

d)

Begin at the origin. Go to the right 7 units and up 2 units.

26.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

27.

What is the ordered pair?

a)

(8, 2)

b)

(2,7)

c)

(2,8)

d)

(8,3)

28.

What is at (1,2)?

a)

the moon

b)

the sun

c)

a blue planet

d)

a robot

29.

What is the proper term for the red line?

a)

y-axis

b)

x-axis

c)

up and down

d)

left and right

30.

What is the distance of the point (-3, -4) from x axis

a)

3

b)

4

c)

7

d)

12

31.

What is the distance of the point (3, 4) from the origin?

a)

5

b)

4

c)

6

d)

7

32.

The distance between the points A(0 ,6) and B(0 , -2) is _____

a)

6

b)

4

c)

8

d)

16

33.

Mid point of line segment joining points (-2 ,4) and (6, 10) is _____

a)

(2, 5)

b)

(2 , 7)

c)

(3 , 7)

d)

(3, 8)

34.

a)

5

b)

4

c)

3

d)

6

35.

Find the distance between A (8 , 0) and B (2 , -3)

a)

9

b)

$\sqrt{45}$

c)

$\sqrt{40}$

d)

7

36.

Find the distance between C (0 , -2) and D (0 , 5)

a)

7

b)

$\sqrt{48}$

c)

$\sqrt{51}$

d)

5

37.

Find the coordinates of the midpoint of the line segment joining A (2 , -3) and B (0 , 1)

a)

(0 , -1)

b)

(1 , 0)

c)

(-1 , 1)

d)

(1 , -1)

38.

M is the midpoint of [QR], Find the coordinates of R if Q (-5 , 0) and M (0 , -1)

a)

(5 , 2)

b)

(4 , 0)

c)

(5 , -2)

d)

(0 , -4)

39.

Find the coordinates of the midpoint of the line segment joining A (-2 , 4) and B (4 , -2)

a)

(1 , 1)

b)

(-1 , -1)

c)

(-1 , 1)

d)

(1 , -1)

40.

What is the slope of this line?

a)

3/7

b)

1/3

c)

3/8

d)

2/5

41.

A line with a slope of 0 is ....

a)

Horizontal

b)

Vertical

c)

Very steep

d)

Not very steep

42.

Which line has a negative slope?

a)

C

b)

B

c)

A

d)

D

43.

Find the equation of the line L in the form y = mx+c.

a)

$y=1.5x+1$

b)

$y=-1.5x-1$

c)

$y=1$

44.

The equation of a straight line is 2y = 3x+4.

Find the gradient of this line.

a)

1.5

b)

1

c)

1.3

45.

The equation of a straight line is 2y = 3x+4.

Find the co-ordinates of the point where the line crosses the y-axis..

a)

(2, 0)

b)

(0, 2)

c)

(0, -2)

46.

Find the equation of line L

a)

y = −2x + 6

b)

y = 2x + 6

c)

y = −2x - 6

47.

A is the point (8, 5) and B is the point (- 4, 1).

Calculate the length of AB.

a)

11.56

b)

12.56

c)

12.6

48.

A straight line joins the points A (-2, -3) and C (1, 9).

Find the equation of the line AC in the form y = mx + c.

a)

$y=4x+5$

b)

$y=4x$

c)

$y=4x-5$

49.

A straight line joins the points A (-2, -3) and C (1, 9).

Calculate the length of AC.

a)

12.4

b)

13

c)

14.2

50.

A straight line joins the points A (-2, -3) and C (1, 9).

Find the co-ordinates of the midpoint of AC.

a)

(-0.5, -3)

b)

(-0.5, 3)

c)

(0.5, 3)

51.

What is the midpoint of the straight line segment joining the points (2, 5) and(6, 1)?

a)

(4, 3)

b)

(4, 2)

c)

(2, 2)

d)

( $-4,\ 3$ )

52.

In the equation $y\ =\ -7x-5$ , what is the slope of the line?

a)

$-5$

b)

7

c)

5

d)

$-7$

53.

Slope of a straight line is calculated by

a)

rise $\times$ run

b)

run $\div$ rise

c)

rise + run

d)

rise $\div$ run

54.

Slopes of parallel lines are always:

a)

half of each other

b)

equal to each other

c)

equal to Zero

d)

equal to "-1"

55.

Slope of the given line is

a)

Undefined

b)

Negative

c)

Zero

d)

Positive

56.

Slope of the given line is

a)

$\frac{-1}{4}$

b)

$-4$

c)

$\frac{1}{4}$

d)

4

57.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

58.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

Coordinate geometry of the line

Total questions: 58

Worksheet time: 1hrs 20mins

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