Calculating Slope of a Line :

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Presentation transcript:

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 1. Slope ( m ) equation given two points. - remember, slope ( m ) is a

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 1. Slope ( m ) equation given two points. - remember, slope ( m ) is a EXAMPLE : Calculate the slope of the line through ( 2 , 5 ) and ( 5 , 7 ).

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 1. Slope ( m ) equation given two points. - remember, slope ( m ) is a x1 y1 x2 y2 EXAMPLE : Calculate the slope of the line through ( 2 , 5 ) and ( 5 , 7 ).

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 1. Slope ( m ) equation given two points. - remember, slope ( m ) is a x1 y1 x2 y2 EXAMPLE : Calculate the slope of the line through ( 2 , 5 ) and ( 5 , 7 ).

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 1. Slope ( m ) equation given two points. - remember, slope ( m ) is a x1 y1 x2 y2 EXAMPLE : Calculate the slope of the line through ( - 1 , 8 ) and ( 2 , - 3 ).

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph Positive slope – uphill left to right Negative slope – downhill left to right

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph Positive slope – uphill left to right Negative slope – downhill left to right Zero Slope - horizontal line No Slope – vertical line

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph When counting slope on a graph : Positive slope – uphill left to right - up and to the right OR - down and to the left Negative slope – downhill left to right - up and to the left

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph EXAMPLE : What is the slope of the given line on the graph.

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph EXAMPLE : What is the slope of the given line on the graph. Pick a starting point….

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph EXAMPLE : What is the slope of the given line on the graph. Begin by counting up in the y direction…( 5 ) 5

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph EXAMPLE : What is the slope of the given line on the graph. Begin by counting up in the y direction…( 5 ) Then we will count right in the x direction… ( 2 ) 2 5

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph EXAMPLE : What is the slope of the given line on the graph. Begin by counting up in the y direction…( 5 ) Then we will count right in the x direction… ( 2 ) This line goes up hill L – R so the slope is : 2 5

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph EXAMPLE : What is the slope of the given line on the graph. Begin by getting a starting point…

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph EXAMPLE : What is the slope of the given line on the graph. Begin by counting down in the y direction…( - 3 ) Then we will count right in the x direction… ( 4 ) This line goes down hill L – R so the slope is : - 3 4

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 3. Counting slope from a given point to get a new point EXAMPLE : Plot another point starting at the given point and using

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 3. Counting slope from a given point to get a new point EXAMPLE : Plot another point starting at the given point and using - 2 Starting at the given point… - count down two ( -2 )

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 3. Counting slope from a given point to get a new point EXAMPLE : Plot another point starting at the given point and using - 2 Starting at the given point… - count down two ( -2 ) - then right three ( 3 ) 3

Calculating Slope of a Line : 2 Methods 1. Slope ( m ) equation given 2 points 2. Counting the slope from a given graph 3. Counting slope from a given point to get a new point EXAMPLE : Plot another point starting at the given point and using - 2 Starting at the given point… - count down two ( -2 ) - then right three ( 3 ) - plot your new point 3