Linear Relationships

Question 1

Define

Linear function

Answer 1

Any function that, when graphed, forms a straight line.

Question 2

Linear equation

Answer 2

y = [a]x – [b]

e.g. y = 4x – 6

Question 3

Define

Gradient

Answer 3

A measure of slope/steepness, indicated by the latter m

Question 4

Formula

gradient

Answer 4

m = rise/run

Question 5

A gradient is positive if…

Answer 5

it slopes upwards from left to right

Question 6

A gradient is negative if…

Answer 6

it slopes downwards from left to right

Question 7

A gradient is zero if…

Answer 7

the line is horizontal

Question 8

A gradient is undefined if…

Answer 8

if the line is vertical

Question 9

Define

Direct Variation

Answer 9

Direct variation occurs when one variable is directly effected by the other - for example, if you are paid an hourly wage then your total pay depends directly on how many hours you work.