# How do you write the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1)?

##### 2 Answers

#### Explanation:

The slope of the line passing through the two points

The equation of the straight line is

The point

The equation of the straight-line will be

To find the X-intercept assign the value 0 to

graph{-1/5*x+7/5 [-9.63, 10.37, -3.4, 6.6]}

#### Explanation:

There are several ways of answering this question:

**Method 1** . Use the two points to find the gradient

Substitute

Now use the values for

This method is fine, but it requires several substitutions and it is easy to lose track of where you are.

**Method 2** . Use the two points as

**Method 3** . Use the two points as