Slope of a Line

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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