Free Printable Equations of a straight line

1.

A suitable graph for the straight–line equations $2y+3x=9$ is...

a)

b)

c)

d)

2.

Look at the following diagram!

Gradient of L line is…

a)

$-4$

b)

$4$

c)

$-1/4$

d)

$1/4$

3.

Look at the following graph!

Gradient of k line is…

a)

$-2/3$

b)

$-3/2$

c)

$2/3$

d)

$2/3$

4.

Look at the following graph!

Gradient of c line is…

a)

$-1/2$

b)

$1/2$

c)

$-2$

d)

$2$

5.

Gradient of the straight–line equation $2x-4y=20$ is...

a)

$-1/2$

b)

$1/2$

c)

$-2$

d)

$2$

6.

For the following straight–line equations,
i $2y=8x+20$
ii $6y=12x+18$
iii $3y=12x+15$
iv $3y=-6x+15$
A suitable pair of parallel graphs is…

a)

i dan ii

b)

i dan iii

c)

ii dan iii

d)

ii dan iv

7.

The straight–line equation that through $A(-2,5)$ dan $B(1,-3)$ is...

a)

$-3y+8x=-1$

b)

$-3y-8x=-1$

c)

$3y+8x=-1$

d)

$3y-8x=-1$

8.

The straight–line equation that passes through $P(-3,-2)$ with gradient equal to 2 is…

a)

$2x+y=4$

b)

$2x-y=4$

c)

$2x+y=-4$

d)

$2x-y=-4$

9.

The straight–line equation that through $P(-2,1)$ and perpendicular intersect with $2y+x=1$ is...

a)

$y=2x+5$

b)

$y=2x-5$

c)

$y=-2x+5$

d)

$y=-2x-5$

10.

Side of the rectangle ABCD parallel with the axes of cartesian coordinate. Point $A(1,-2)$ and $C(5,1)$ are the facing vertices. The straight–line equations that through point B and D is…

a)

$3x+4y+7=0$

b)

$3x+4y-7=0$

c)

$3x-4y+7=0$

d)

$3x-4y-7=0$

11.

What is the y-intercept of this line?

a)

2

b)

3

c)

-3y

d)

-3

12.

What gradient is represented here

a)

negative

b)

zero

c)

undefined

d)

positive

13.

What gradient is represented here

a)

Positive

b)

negative

c)

undefined

d)

zero

14.

What is the gradient of this line

a)

4

b)

4/5

c)

-2

d)

-1/2

15.

What is the gradient of this line?

a)

2

b)

-2

c)

1/2

d)

-1/2

16.

The equation of a straight line is in the form of _________________ .

a)

y = x

b)

y = mx

c)

y = mx + c

d)

y = mx + mc

17.

What is the y-intercept of the line
y = 4x - 6?

a)

4

b)

4x

c)

6

d)

-6

18.

Which of these lines has a gradient of ½?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

19.

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)

$2x-y+10=0$

20.

Find the equation of the straight line with slope -7 and y-intercept 4 .

a)

$4x-y-7=0$

b)

$7x+y-4=0$

c)

$x-4y+7=0$

d)

$x+7y-4=0$

21.

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

a)

$x+2y-6=0$

b)

$x+2y-9=0$

c)

$x+14y+12=0$

d)

$x+14y+18=0$

22.

Straight line $3x-9y-k=0$ passes through A(2, 1) . Find the value of $k$ .

a)

-15

b)

-3

c)

3

d)

15

23.

Two points A(2, -4) and B(-6, 4) are given. P is the mid-point of line segment AB . Find the equation of the straight line with the slope of 3 passing through P .

a)

$y=-x-2$

b)

$y=3x$

c)

$y=3x+2$

d)

$y=3x+6$

24.

Find the slope of the straight line $2x-6y+9=0$ .

a)

-3

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

3

25.

Find the x-intercept and y-intercept of straight line $2x+5y-10=0$ .

a)

x-intercept = $-\frac{2}{5}$ , y-intercept = 5

b)

x-intercept = $-\frac{5}{2}$ , y-intercept = 2

c)

x-intercept = 5 , y-intercept = 2

d)

x-intercept = 5 , y-intercept = 5

26.

If straight line $x-2y+4=0$ cuts the x-axis and y-axis at P and Q respectively, find the area of $\Delta$ OPQ.

a)

Area = 1

b)

Area = 2

c)

Area = 4

d)

Area = 8

27.

Straight lines $L1:\ 3x-2y+7=0\ ,$ $L2:\ 2x+3y-4=0\$ and $L3:\ 3x+2y+6=0$ are given. Which of the following must becorrect?
     I.   L1 // L2
     II.  L1 $\perp$   L2
     III. L2 $\perp$   L3

a)

I only

b)

II only

c)

I and III only

d)

None of the above

28.

Find the equation of the straight line which passes through (1, 2) and is perpendicular to the straight line $5x+6y-2=0$ .

a)

$5x-6y+7=0$

b)

$5x+6y-17=0$

c)

$6x-5y+4=0$

d)

$6x+5y-16=0$

29.

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)

$2x+y=0$

30.

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

a)

Area = 3

b)

Area = 4

c)

Area = 8

d)

Area = 16

31.

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)

$x-2y-4=0$

32.

Two points A(-1, -4) and B(3, -6) are given. The equation of the perpendicular bisector of AB is

a)

$2x+y+3=0$ .

b)

$2x-y-7=0$ .

c)

$x+2y+9=0$ .

d)

$x-2y-11=0$ .

33.

Write down the coordinates of the point A.

a)

( 2, -4)

b)

( -4 , 2)

c)

( 4, 1)

d)

( 1, 4)

34.

Write down the coordinates of point C.

a)

( 0, 2 )

b)

( 0 , -2 )

c)

( 2, 0 )

d)

( - 2 , 0 )

35.

Write down the coordinates of Point E.

a)

( - 3 , 4 )

b)

( - 3 , - 4 )

c)

( 3 , - 4)

d)

( 3 , 4 )

36.

Which of the following equations are NOT for straight line graphs?

a)

y = mx + c

b)

x = k

c)

y = k

d)

y = x

e)

y = c

37.

Identify the equation of this line.

a)

x = 2

b)

x = - 2

c)

y = 2

d)

y = - 2

38.

Identify the equation of this line.

a)

y = 2

b)

y = - 2

c)

y = x

d)

x = 2

39.

Identify the equation of this line.

a)

x = 4

b)

x = - 4

c)

y = 2x + 4

d)

y = x - 4

40.

What is the gradient of the line
y = 2x - 3?

a)

2

b)

-3

c)

3

d)

2x

41.

Which of these lines will intercept the y-axis at 5?

a)

y = 5x

b)

y = x - 5

c)

5y = 5x + 5

d)

y = x + 5

42.

What is the y-intercept of the line
y = 4x - 6?

a)

4

b)

4x

c)

6

d)

-6

43.

What is the y-intercept of this line?

a)

2

b)

3

c)

-3y

d)

-3

44.

What is the equation of this line?
_{(in the form y = mx + c)}

a)

y = -3x + 2

b)

y = 2x - 3

c)

y = 2x + 3

d)

y = -2x - 3

45.

Which of these
co-ordinates lie on the line
y = 3x - 8?

a)

(5, 8)

b)

(0, 8)

c)

(2, -2)

d)

(1, 5)

46.

The point A on the line
y = 3x - 7
has an x co-ordinate of 4.
What is the y co-ordinate of A?

a)

-4

b)

5

c)

0

d)

4

47.

For the following straight–line equations,
i $2y=8x+20$
ii $6y=12x+18$
iii $3y=12x+15$
iv $3y=-6x+15$
A suitable pair of parallel graphs is…

a)

i $\parallel$ ii

b)

i $\parallel$ iii

c)

ii $\parallel$ iii

d)

ii $\parallel$ iv

48.

The straight–line equation that through $P(-2,1)$ and perpendicular intersect with $2y+x=1$ is...

a)

$y=2x+5$

b)

$y=2x-5$

c)

$y=-2x+5$

d)

$y=-2x-5$

49.

A suitable graph for the straight–line equations $2y+3x=9$ is...

a)

b)

c)

d)

50.

Look at the following diagram!

Gradient of L line is…

a)

$-4$

b)

$4$

c)

$-1/4$

d)

$1/4$

51.

Gradient of the straight–line equation $2x-4y=20$ is...

a)

$-1/2$

b)

$1/2$

c)

$-2$

d)

$2$

52.

Find the equation of the straight line with the slope of -1 passing through A(-2, -5).

a)

$y=-x+3$

b)

$y=-x+7$

c)

$y=-x-3$

d)

$y=-x-7$

53.

Straight line $-5x+ky-1=0$ passes through A(1, -2). Find the value of k.

a)

-3

b)

-2

c)

2

d)

3

54.

Two points A(-2, 4) and B(-6, 2) are given. P is the mid-point of line segment AB. Find the equation of the straight line with the slope of -2 passing through P.

a)

$y=-2x-5$

b)

$y=-2x$

c)

$y=-2x+7$

d)

$y=-2x+11$

55.

The y-intercept of straight line $3x-6y+5k=0$ is -2. Find the value of k.

a)

$\frac{12}{5}$

b)

$\frac{6}{5}$

c)

$-\frac{6}{5}$

d)

$-\frac{12}{5}$

56.

If $4x+3y-12=0$ cuts the x-axis and y-axis at P and Q respectively, find the perimeter of $\Delta$ OPQ .

a)

6

b)

8

c)

9

d)

12

57.

Straight lines L1 $4x-3y+5=0$ , L2 $4x+3y-2=0$ and L3 $3x-4y=0$    are given. Which of the following is / are correct?
     I.   L1 // L2
     II.  L1 $\perp$   L2
     III. L2 $\perp$ L3

a)

I only

b)

II only

c)

III only

d)

None of the above

58.

Find the equation of the straight line which passes through (-4, 5) and is parallel to straight line $2x-3y-4=0$ .

a)

$3x+2y+2=0$

b)

$3x-2y-22=0$

c)

$2x+3y-7=0$

d)

$2x-3y+23=0$

59.

If straight lines $3x-4y+7=0$ and $2kx+\left(2k-1\right)y-2=0$ are perpendicular to each other, then k =

a)

$\frac{3}{14}$ .

b)

$\frac{1}{2}$ .

c)

2.

d)

$\frac{14}{3}$ .

60.

Find the equation of straight line L in the figure.

a)

$x-2y+2=0$

b)

$x+2y+2=0$

c)

$2x-y+4=0$

d)

$2x+y+4=0$

61.

Two points A(-1, -4) and B(3, -6) are given. The equation of the perpendicular bisector of AB is

a)

$y=-2x-3$ .

b)

$y=2x-7$ .

c)

$y=-\frac{1}{2}x-\frac{9}{2}$ .

d)

$y=\frac{1}{2}x-\frac{11}{2}$ .

62.

Find the coordinates of the point of intersection of straight lines $3x-4y+6=0$ and $2x-3y+5=0$ .

a)

(-2, 3)

b)

(-3, 2)

c)

(2, 3)

d)

(3, 2)

63.

Challengling Question:
In the figure, the equation of the straight line is $x+ay+b=0$ .
Which of the following must be correct?

I.    a > 0

II.   b < 0

III. ab > 0

a)

I only

b)

II only

c)

I and III only

d)

II and III only

Equations of a straight line

Total questions: 63

Worksheet time: 1hrs 18mins

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