NZ Level 6 (NZC) Level 1 (NCEA)

## Interactive practice questions

Consider the interval shown in the graph with Point A $\left(0,-2\right)$(0,2) and Point B $\left(3,2\right)$(3,2)

a

Find the rise (change in the $y$y value) between point A and B. Note: Ensure you have the correct sign.

b

Find the run (change in the $x$x value) between point A and B. Note: Ensure you have the correct sign.

c

Find the gradient of the interval AB.

Easy
Approx 2 minutes

Consider the interval containing Point $A$A $\left(0,4\right)$(0,4) and Point $B$B $\left(1,0\right)$(1,0)

What is the gradient of the line shown in the graph given that Point A $\left(3,3\right)$(3,3) and Point B $\left(6,5\right)$(6,5) both lie on the line.

Consider the line below, where Point A $\left(4,0\right)$(4,0) and Point B $\left(0,16\right)$(0,16) both lie on the line:

### Outcomes

#### NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

#### NA6-8

Relate rate of change to the gradient of a graph

#### 91028

Investigate relationships between tables, equations and graphs