# How do you write an equation in standard form given a line that passes through (9,8) and (4,7)?

##### 1 Answer

A lot of explanation given.

Standardised form type 1:

Standardised form type 2:

#### Explanation:

The gradient (slope) is the amount of up or down for a given amount of along reading left to right on the x-axis.

Given the two points

The

Set point 1 as

Set point 2 as

So we are moving from

Thus any change is

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Change in up or down is change in

As this is positive then the slope is up.

Change in along is change in

Set gradient as

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Gradient

Multiply both sides by

Multiply both sides by 5 giving

By further manipulation we have:

Standardised form type 1:

Standardised form type 2: