# How do you write the equation of the line through (4,-8) and (8,5)?

##### 2 Answers

#### Explanation:

**Step 1: Determine the slope of the line through the given points**

Given the points,

the slope,

**Step 2: Write the equation in slope-point form**

Given a slope

the slope-point form of the equation is:

In this case we have:

giving

**Step 3: Convert into standard form**

Standard form of a linear equation is

Starting from the slope-point form (above) we have:

For verification purposes, here is a graph with the given points and the equation

#### Explanation:

consider the standardised equation format of:

where

Very important

Watch out for this because sometimes questions give the points in the revers order.

So the first point is at say

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

Let point 1 be

Let point 2 be

So we now have:

I chose

So we now have: