Quiz about coordinate geometry - The Line

Question 1

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

Accepted Answer

-0.4

Answer

0.4

Answer

$$\frac{2}{5}$$

Question 2

What number represents the gradient of the line

$$y=-\frac{2}{3}x+2$$

Accepted Answer

$$-\frac{2}{3}$$

Answer

$$2$$

Answer

$$-2$$

Answer

$$-\frac{2}{3}x$$

Question 3

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)

Accepted Answer

$$y=-0.5x+1.5$$

Answer

$$y=0.5x-1.5$$

Answer

$$y=0.5x-2$$

Question 4

What is the coordinate of P?

Accepted Answer

$$\left(-4,-2\right)$$

Answer

$$\left(\ 2,\ -2\right)$$

Answer

$$\left(4\ ,\ 3\right)$$

Answer

$$\left(-2,-3\right)$$

Question 5

Calculate the gradient of the line.

Accepted Answer

$$m=-2$$

Answer

$$m=-\frac{1}{2}$$

Answer

$$m=2$$

Answer

$$m=\frac{1}{2}$$

Question 6

gradients of perpendicular lines are...

Accepted Answer

opposite reciprocals

Answer

opposites

Answer

identical

Answer

similar

Question 7

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

Find the equation of the straight line joining A and B.

Accepted Answer

$$y=2x+4$$

Answer

$$y=-2x+4$$

Answer

$$y=2x-4$$

Question 8

Which formula is shown?

Accepted Answer

Gradient

Answer

Distance

Answer

Midpoint

Answer

Pythagoras

Question 9

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

Accepted Answer

$$y=1.5x+1$$

Answer

$$y=-1.5x-1$$

Answer

$$y=1$$

Question 10

Distance from A(-4,3) , B(2,5) is $$2\sqrt[]{10}$$

Accepted Answer

Yes

Answer

No

Question 11

True or false?

The line y = 3x - 6 crosses the y-axis at (0,6)

Accepted Answer

False

Answer

True

Question 12

Find the slope

Accepted Answer

-5/3

Answer

-3/5

Answer

5/3

Answer

3/5

Question 13

Find the equation of line L

Accepted Answer

$$y=-2x+6$$

Answer

$$y=2x+6$$

Answer

$$y=-2x-6$$

Answer

$$y=2x-6$$

Question 14

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

Accepted Answer

(8, -3)

Answer

(1, 2)

Answer

(-3, 8)

Answer

(2, 1)

Question 15

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

Find the co-ordinates of the midpoint of AB.

Accepted Answer

$$\left(2,3\right)$$

Answer

$$\left(3,2\right)$$

Answer

$$\left(-2,-3\right)$$

Answer

$$\left(-3,-2\right)$$

Question 16

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

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

Accepted Answer

-0.75

Answer

0.75

Answer

3

Answer

-3

Question 17

The line PQ has equation y = 3x - 8 and point P has co-ordinates (6, 10).

Find the equation of the line that passes through P and is perpendicular to PQ.

Give your answer in the form y = mx + c.

Accepted Answer

$$y=-\frac{1}{3}x\ +12$$

Answer

$$y=-3x+12$$

Answer

$$y=\frac{1}{3}x-12$$

Question 18

The line PQ has equation y = 3x - 8 and

point P has co-ordinates (6, 10).

Find the equation of the line that passes through P and is perpendicular to PQ.

Give your answer in the form y = mx + c.

Accepted Answer

$$y=-\frac{1}{3}x\ +12$$

Answer

$$y=-3x+12$$

Answer

$$y=\frac{1}{3}x-12$$

Question 19

$$y=3x+3$$ $$y=3x-3$$ These lines are...

Accepted Answer

Parallel

Answer

Perpendicular

Answer

Neither

Answer

The same line

Question 20

What are the coordinates of the point D?

Accepted Answer

(0, 5)

Answer

(4, 0)

Answer

(0, 4)

Answer

(5, 0)

Question 21

Write the equation of the line.

Accepted Answer

y=(2/3)x-1

Answer

y=(1/3)x-1

Answer

y=(3/2)x -1

Answer

y=3x-1

Question 22

Find the gradient of the line

Accepted Answer

$$\frac{4}{3}$$

Answer

$$\frac{3}{4}$$

Answer

$$-\frac{3}{4}$$

Answer

$$-\frac{4}{3}$$

Question 23

Are the lines shown parallel. perpendicular, or neither?

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 24

Which equation matches the graph?

Accepted Answer

$$y=\frac{1}{4}x+2$$

Answer

y = 2x

Answer

y = 1x + 4

Answer

y = -2x

Question 25

Find the gradient of the line passing through the points (0, -3) and(6, 9).

Accepted Answer

2

Answer

1

Answer

0.5

Answer

-0.5

Question 26

Write the equation of the line.

Accepted Answer

y=(-3/4)x-3

Answer

y=-3x-4

Answer

y=-4x-3

Answer

y=(-4/3)x-3

Question 27

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).

Accepted Answer

$$\left(a\right)\ y=2x-3$$ $$\left(b\right)y=-\frac{1}{2}x+2$$

Answer

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

Question 28

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

Calculate the length of AB.

Accepted Answer

12.6

Answer

5

Answer

10.6

Answer

-12

Question 29

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

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

Accepted Answer

(0, 2)

Answer

(2, 0)

Answer

(0, -2)

Answer

(0, 4)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics