## Algebra 1 Tutorial

*Slope of a Line*

#### Intro

Slope Intercept Form: Y= mx + b , where m is the slope of the line and b is the Y-intercept. The slope of a nonertical line is the ratio of the vertical change to the corresponding horizontal change. In other words,

m = (Vertical Change)/(Horizontal Change)

To calculate, we use the formula,

m= (y2-y1)/(x2-x1)

#### Sample Problem

Find the slope of the line that passes through

(1,2) and (3,4).

#### Solution

Step 1: Identify Order Pairs

(1 , 2) (3 , 4) (x1, y1) (x2 , y2)

Step 2: Plug Directly into slope formula

(Y2-Y1)/(X2-X1) --> (4-2)/3-1)

Step 3: Compute

4-2 2 ___ = ___ = 1 3-1 2

The slope is 1/1 or just 1

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