# What is the slope-intercept form of the line passing through # (5, 1)# and # (0, -6) #?

##### 3 Answers

The general slope intercept form of a line is

where

#### Explanation:

First, get all the terms of the equation. Let us calculate the slope.

# =(-6-1)/(0-5)#

# = 7/5#

The

Use the equation.

#### Explanation:

One answer is:

the other is:

#### Explanation:

The slope-intercept form of a line tells you what you need to find first: the **slope**.

Find slope using

where

You can see this is in both answers.

Now choose either point and plug in to the slope-intercept form of a line:

Choosing the first point results in the first answer and choosing the second point yields the second answer. Also note that the second point is technically the *y*-intercept, so you could write the equation in slope-intercept form (