# What is the slope of the line passing through the following points: #(-9,1) , (7,3)#?

##### 2 Answers

#### Explanation:

#"to calculate the slope m use the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(-9,1)" and "(x_2,y_2)=(7,3)#

#rArrm=(3-1)/(7-(-9))=2/16=1/8#

**The slope of the line segment AB** is

#### Explanation:

**Slope** is basically **how steep a line is**.

A slope is often denoted by the variable

A slope is **Positive** when **the line is increasing** when viewed from the left.

A slope is **Negative** when **the line is decreasing** when viewed from the left.

A **Zero Slope** means the line is **neither increasing nor decreasing** when viewed from the left.

A **Horizontal Line** is an example of having a **Zero Slope**.

An **undefined slope** is a unique situation:

Consider a **Vertical Line**.

A vertical line is **neither moving to the left nor to the right**.

Hence, **the slope for a vertical line is undefined.**

To find the SLOPE of the line passing through the Points **Ordered Pair** of points on a **Cartesian coordinate system as shown:**

Join the points **A and B** and obtain a **line segment AB**.

If you observe the **steepness of the line**, you see that there is a **shallow positive slope**.

Find out how many units does it **go up (Rise) ?**

Next, find out how many units does it go **side-to-side (Run)**?

Observe in the sketch above, it goes up by **2 units**.

Hence,

It moves to the right **Point B(7,3).**

Hence,

The next step shows these calculations in on a graph (image).

**Slope (m)** can be found by using the **ratio**

Hence,

Hence, **the slope of the line segment AB** is