Free Printable Straight Lines

1.

$y=mx+c$
m refers to the

a)

gradient

b)

X-intercept

c)

coordinate

d)

y-intercept

2.

P is the point (−2,3) and Q is the point (4,15). Find the gradient of the straight line PQ.

a)

$-2$

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

$2$

3.

$4x+6y=0$
What is the gradient of the straight line above?

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

4

d)

6

4.

$y=2x+3$
What is the y-intercept of the above equation

a)

2x

b)

-3

c)

3

d)

2

5.

$4y-3x=12$
Determine the x-intercept of the above straigt line.

a)

$-4$

b)

$-\frac{1}{4}$

c)

3

d)

12

6.

A vertical line cuts the x-axis at 4, what is the equation of the line

a)

$x=4$

b)

$y=4x$

c)

$y=4$

d)

$y=x+4$

7.

Find the equation of the straight line MN if its gradient is equal to 3 and the line passes through point
$\left(-2,5\right)$ .

a)

$y=2x+5$

b)

$y=-3x+11$

c)

$y=3x-11$

d)

$y=3x+11$

8.

The diagram shows two parallel straight lines drawn on a Cartesian plane. Determine the equation of straight line PQ.

a)

$y=3x+2$

b)

$y=3x+4$

c)

$2y=3x+4$

d)

$2y=3x+8$

9.

Which of the following lines is parallel to
$2x+3y=5$

a)

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

b)

$y=2x-3$

c)

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

d)

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

10.

Choose points that lie on the straight line
$\frac{x}{2}+\frac{y}{3}=1$

a)

$\left(2,0\right)$

b)

$\left(-2,12\right)$

c)

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

d)

$\left(0,6\right)$

11.

Which of these lines would be the steepest?

a)

y = 2x + 9

b)

y = 7x + 3

c)

y = 5x - 3

d)

y = 7

12.

Which line has the equation

x + y = -2

a)

b)

c)

d)

13.

Find the equation of the straight line MN if its gradient is equal to 3 and the line passes through point
$\left(-2,5\right)$ .

a)

$y=2x+5$

b)

$y=-3x+11$

c)

$y=3x-11$

d)

$y=3x+11$

14.

Select the equation of each graph shown:

a)

y = 0.5x - 2

b)

y = 2x - 2

c)

2x + y = 3

d)

3x + y = 2

15.

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)

$x+7y-4=0$

16.

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

a)

-3

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

3

17.

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

18.

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

19.

What line goes through (1,4) and has gradient 2

a)

y=2x+2

b)

y=x+1

c)

y=4x-1

d)

y=2x+4

20.

Write the slope-intercept form of the equation that has a slope of 4 and a y-intercept of −3.

a)

y = 4x − 3

b)

y = −3x + 4

c)

y = −4x + 3

d)

y = 3x − 4

21.

Find the equation of a line with gradient 3 that passes through the point (2,4)

a)

y=3x+1

b)

y=3x

c)

y=3x-2

d)

y=2x+1

22.

Find the equation of the straight line with the y-intercept of 5 passing through A(-1, 7).

a)

$y=-7x+5$

b)

$y=5x+12$

c)

$y=-2x+5$

d)

$y=-\frac{7}{6}x+\frac{35}{6}$

23.

Which of the following is the correct formula for distance?

a)

$d=\sqrt{\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2}$

b)

$d=\sqrt{\left(y_1-y_2\right)^2+\left(x_1-x_2\right)^2}$

c)

$d=\sqrt{\left(y_2-y_1\right)_{\ }^2-\left(x_2-x_1\right)^2}$

d)

$d=\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2$

24.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

25.

A(2,0) B(-2,4) is written as

a)

$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

b)

$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

c)

$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

d)

$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

26.

What is the distance between (-5, 3) and (4, -5)?

a)

$\sqrt{-145}$

b)

$\sqrt{145}$

c)

145

d)

-145

27.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

28.

Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)

a)

(-5.5, -7.5)

b)

(-1.5, -0.5)

c)

(-3, -1)

d)

(0.5, 1.5)

29.

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)

a)

(-9, 10)

b)

(1.5, -1)

c)

(4.5, -0.5)

d)

(8.5, 4.5)

30.

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

Straight Lines

Total questions: 30

Worksheet time: 51mins

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