#1**+1 **

You will need to know what "slope intercept" form is to solve these probelems. Basically, they are the equation of a line in this form:

**y = [slope]x + [y-intercept]**

Therefore, for each line, we need to find the slope *and* the y-intercept.

Here are a few basic things you need to know before we continue:

**What is a slope?**

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

- Khan Academy

**What is the y-intercept?**

It is the y coordinate at the point where the line touches the y-axis.

**How to tell if a slope is positive or negative?**

Found these pictures on quora. The second one is a funny way to remeber:

**1)**

__SLOPE:__

To find this, let's find two points on the line: (2, 0) and (0, 3)

**rise -3**

We see that the **-------- = ---- ** (AKA the difference of y over difference of x)

**run 2**

__Y-INTERCEPT:__

This is easy. It is on the graph. It basically is where the line touches the y-axis. This is at **y = 3**

__THE EQUATION:__

**y = -3/2 x + 3**

**2)**

__SLOPE:__

To find this, let's find two points on the line: (2, 2) and (0, 3)

**rise -1**

We see that the **-------- = ----- **

**run 2**

__Y-INTERCEPT:__

This is at **y = 3**

__THE EQUATION:__

**y = -1/2 x + 3**

**3)**

__SLOPE:__

To find this, let's find two points on the line: (3, 3) and (0, 1)

**rise 3**

We see that the **-------- = ----- **

**run 2**

__Y-INTERCEPT:__

This is at **y = 1**

__THE EQUATION:__

**y = 3/2 x + 1**

**:)**

ilorty Aug 31, 2020