Everything Maths Grade 10

Exercise 6 – 2:

1.Determine thex-intercept and they-intercept of the following equations.

a) y=x 1 b)y=x+ 2 c) y=x 3

2.In the graph below there is a function with the equationy=mx+c. Determine the values ofm(the

gradient of the line) andc(they-intercept of the line).

 2  1 1 2

 4

 3

 2

 1

1

2

3

B

A

x

y

3.The graph below shows a function with the equationy=mx+c. Determine the values ofm(the gradient

of the line) andc(they-intercept of the line).

 4  3  2  1 1 2 3 4

 3

 2

 1

1

2

B

A

x

y

4.List thexandy-intercepts for the following straight line graphs. Indicate whether the graph is increasing

or decreasing:

a) y=x+ 1 b)y=x 1 c) h(x) = 2x+ 1 d)y+ 3x= 1

e) 3 y 2 x= 6 f)k(x) = 3 g)x= 3y h) x 2 y 3 = 1

5.State whether the following are true or not.

a)The gradient of 2 y= 3x 1 is 3.

b)They-intercept ofy=x+ 4is 4.

c)The gradient of 2 y= 2x 1 is 2.

d)The gradient ofy=^12 x 1 is 1.

e)They-intercept of 2 y= 3x 6 is 6.

6.Write the following in standard form (y=mx+c):

a) 2 y+ 3x= 1 b) 3 xy= 5

c) 3 y4 =x d)y+ 2x3 = 1

7.Look at the graphs below. Each graph is labelled with a letter. In the questions that follow, match any

given equation with the label of a corresponding graph.

156 6.2. Linear functions