Free Printable quiz straight lines 28 April

1.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

$2x-y-2=0$

b)

$2x-y-10=0$

c)

$2x-y+2=0$

d)

$2x-y+10=0$

2.

Find the equation of straight line L in the figure.

a)

$x-2y-5=0$

b)

$x+2y+3=0$

c)

$2x-y-4=0$

d)

$2x+y=0$

3.

Challenging Question:
In the figure, OABC is a parallelogram. If the equation of OA is $y=\frac{1}{2}x$ and AB = 4 units, find the equation of BC.

a)

$2x+y+8=0$

b)

$2x+y-8=0$

c)

$x-2y+4=0$

d)

$x-2y-4=0$

4.

Find the area of $\Delta$ ABC in the figure.

a)

Area = 3

b)

Area = 4

c)

Area = 8

d)

Area = 16

5.

Line LK is parallel to the x-axis. Given that JK = 5 units. Find the coordinates of the point K

a)

(3,4)

b)

(4,5)

c)

(4,4)

d)

(5,4)

6.

Which of the following points lies on the straight line

2y = 3x - 7

a)

(1,2)

b)

(1,-2)

c)

(0,-7)

d)

(2,1/2)

7.

AB is parallel to CD, find the equation of AB

a)

y = x + 2

b)

x - 2y + 7 = 0

c)

y = 2x + 2

d)

y = x + 7

8.

Which of the following points is the point of intersection of the lines y = 2x + 1 and y = - x + 7

a)

(-2, 9)

b)

(8, -1)

c)

(2, 5)

d)

(6, 13)

9.

Determine whether the following straight lines

3y = -6x + 3 and y + 2x = 14

are parallel or not.

a)

Yes

b)

No

10.

Express the following equation in the form of

y = mx + c

a)

y = 6x + 12

b)

2y = 6x + 12

c)

y = 3x + 6

d)

y = -3x + 6

11.

Complete the sentence:

Parallel lines...

a)

Have different slopes.

b)

Have the same slopes.

c)

Have the same y-intercept.

d)

Have the same slope and y-intercept.

12.

Which of the following is parallel to the equation

y = 0.5x + 2

a)

y = -0.5x + 5

b)

y = 0.5x - 4

c)

y = 2x + 0.5

d)

y = -2x + 9

13.

Determine whether the graph of the given equations is parallel, perpendicular, or neither.

y = 4x + 10

y = 1/4x + 10

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Cannot Be Determined

14.

Determine whether the graph of the given equations is parallel, perpendicular, or neither.

y = 2x + 3

y = 2x - 9

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Cannot Be Determined

15.

Through (2, -4) and parallel to y = 3x + 2

a)

$y=\frac{-1}{3}x-\frac{10}{3}$

b)

y = 3x - 10

c)

y = 2x - 4

d)

y = 3x + 7

16.

Through (2, -1) and parallel to $y=\frac{-2}{5}x+3$

a)

$y=-\frac{2}{5}x+\frac{4}{5}$

b)

$y=\frac{5}{2}x-6$

c)

$y=-\frac{2}{5}x-\frac{1}{5}$

d)

$y=\frac{5}{2}x-\frac{1}{5}$

17.

Determine whether the graph of the given equations is parallel, perpendicular, or neither.
7x - 5y = 20
$y=\frac{7}{5}x+40$

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Cannot Be Determined

18.

Which of the following straight lines has a gradient of $\frac{1}{4}$ and passes through the point (8, –8)?

a)

$y=\frac{1}{4}x-8$

b)

$y=\frac{1}{4}x+8$

c)

$y=\frac{1}{4}x-10$ $y = \frac{1}{4} x + 8$

d)

y $y=\frac{1}{4}x+10$

19.

Given the equation of a straight line is 5y – 3x = 15.

Find the x-intercept of the straight line.

a)

-5

b)

5

c)

-4

d)

3

20.

The diagram below shows two straight lines, FG and KL, intersecting at point P.

Find the y-intercept of the straight line FG.

a)

8

b)

6

c)

5

d)

4

21.

In the diagram below, the two straight lines, VW and ST are parallel.

Given that the equation of VW is 4y = –x + 16, find the equation of ST.

a)

y = –4x + 4

b)

$y=-\frac{1}{4}x-4$

c)

y = –4x – 4

d)

y = x + 4

22.

The diagram below shows a parallelogram PQRS on a Cartesian plane.

Find the equation of the straight line PQ.

a)

$y=2x+3$

b)

$y=\frac{1}{2}x-3$

c)

$y=\frac{1}{2}x+3$

d)

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

quiz straight lines 28 April

Total questions: 22

Worksheet time: 3hrs 0mins

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