Worksheet - Sketching Linear Graphs PDF

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MUF0141 Fundamental Mathematics Unit 1

Worksheet: Sketching Linear Graphs

1. Sketch the graph of each of the following. a.

y=x +1 b. y =2 x + 1

d.

y= 4 − x

e.

c.

y=4−2 x

y=3 x – 6 f.

y=−x +6

2. For which of the following equations do the lines pass through the origin? a . y+ x=1 d.

b.

y + x=0

y +3 x=3(x +1)

c.

2 y=3 x

e. x − y =1

3. Give the gradient of each of the lines in Question 2.

4. Sketch the graph of each of the following by first expressing it in the form y = mx + c. a.

4 x +2 y=12

b.

6 x+3 y =12

c.

6 y−4 x=24

d.

x + y =3

e.

y −2 x =6

f.

2 y+3 x=6

g

x+ 2 y =1

h.

y −2 x =1

i. 2 x −3 y=6

5. Sketch the graph of each of the following linear relations: a.

2 x −3 y=12

b.

4 x − y=8

c.

3 x−4 y=24

d.

2 x −5 y =20

e.

−3 x+ 4 y=15

f.

7 x−2 y=14

6. Transpose each of the following linear relations from intercept form to gradient form and hence state the gradient: a.

2 x − y=6

d 5 x−2 y =10

x+ 4 y =12

c.

−x−2 y=6

e . x−5 y=10

f.

−x+ 2 y =8

b.

MUF0141 Fundamental Mathematics Unit 1 Answers 1. a.

b.

c.

d.

e.

f.

MUF0141 Fundamental Mathematics Unit 1 2. b and c. 3. a. -1

b. -1

c.

3 2

d. 0

e. 1

4. a.

b.

c.

d.

e.

f.

MUF0141 Fundamental Mathematics Unit 1

g.

i.

h.

MUF0141 Fundamental Mathematics Unit 1 5. a.

b.

c.

d.

e.

f.

6. a. y = 2x − 6; m = 2

b. y = −0.25x + 3; m = −0.25

c. y = −0.5x − 3; m = −0.5

d. y = 2.5x − 5; m = 2.5

e. y = 0.2x − 2; m = 0.2

f. y = 0.5x + 4; m = 0.5

MUF0141 Fundamental Mathematics Unit 1 *Resource adapted from CSM VCE further mathematics units 3 and 4, Peter Jones-Michael Evans-Kay Lipson-Kyle Staggard - Cambridge University Press - 2015...