Free Printable Coordinate Geometry

1.

Find the gradient of the line that is perpendicular to the line 2y = 3+5x.

a)

0.4

b)

-0.4

c)

$\frac{2}{5}$

2.

Find the gradient of the line L.

a)

1.45

b)

1.5

c)

1

3.

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

a)

$y=1.5x+1$

b)

$y=-1.5x-1$

c)

$y=1$

4.

Line L passes through the points

(0, -3) and(6, 9).

(a) Find the equation of line L.

(b) Find the equation of the line that is perpendicular to line L and passes through the point (0, 2).

a)

\left(a\right)\ y=2x-3

\left(b\right)y=-\frac{1}{2}x+2

b)

$\left(a\right)\ y=2x+3\ \ \ \ \$ $\left(b\right)y=-2x+2$

5.

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

Find the gradient of this line.

a)

1.5

b)

1

c)

1.3

6.

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)

7.

The equation of the line L IS y = −2x + 6,

Find the equation of the line perpendicular to line L that passes through (9, 3).

a)

y = 0.5x +1.5

b)

y = 0.5x −1.5

c)

y = -0.5x −1.5

8.

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

9.

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

Find the co-ordinates of the midpoint of AB.

a)

(3, 2)

b)

(2, 3)

c)

(-2, -3)

10.

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)

$y=4x-5$

11.

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

12.

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)

13.

A is the point (-2, 0) and B is the point (0, 4).

Find the equation of the perpendicular bisector of AB.

(hint : perpendicular pass through midpoints of AB)

a)

$y=0.5x-1.5$

b)

$y=-0.5x+1.5$

c)

$y=0.5x-2$

14.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

15.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

16.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

opposites

c)

identical

d)

nothing

17.

Line 1: $\left(-1,\ 2\right),\ \left(2,\ 3\right)$
Line 2: $\left(0,\ 0\right),\ \left(3,\ 1\right)$
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

18.

Are the lines shown parallel. perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

19.

y = ^{- 2}/₃x + 2
y = ³/₂x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

20.

Which line is perpendicular to
y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

21.

Find the distance between J(4,3) and K(2, -3)?

a)

√ ̅3̅2̅

b)

40

c)

32

d)

√ ̅4̅0̅

22.

Which point has the coordinates (-8,0)

a)

A

b)

B

c)

C

d)

D

23.

If the mid-point of AB is (5, 1), and A is the point (2, 5) what are the coordinates of B?

a)

(1, 2)

b)

(8, -3)

c)

(-3, 8)

d)

(2, 1)

24.

If the mid-point of AB is (4, 8), and A is the point (-6, 4) what are the coordinates of B?

a)

(14, 12)

b)

(12, 14)

c)

(-12, 14)

d)

(-14, -12)

25.

Distance between (p,q) and origin is .......... units.

a)

2 $\sqrt{pq}$

b)

pq

c)

p + q

d)

$\sqrt{p^2+\ q^2}$

Coordinate Geometry

Total questions: 25

Worksheet time: 42mins

Similar Resources on Wayground