NZ Level 6 (NZC) Level 1 (NCEA)
The Two Point Formula

## Interactive practice questions

A line passes through the points $\left(4,-6\right)$(4,6) and $\left(6,-9\right)$(6,9).

a

Find the gradient of the line.

b

Find the equation of the line by substituting the gradient and one point into $y-y_1=m\left(x-x_1\right)$yy1=m(xx1).

Easy
Approx 4 minutes

A line passes through the points $\left(-5,1\right)$(5,1) and $\left(2,-34\right)$(2,34).

Find the equation of the line which passes through Point A $\left(8,1\right)$(8,1) and Point B $\left(-6,-2\right)$(6,2).

Use the two point formula to derive the equation of the line that passes through the points $A$A$\left(6,5\right)$(6,5) and $B$B$\left(-16,11\right)$(16,11). Give your answer in general form.

### Outcomes

#### NA6-7

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

#### 91028

Investigate relationships between tables, equations and graphs