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Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
5. Graphing Linear Equations in Slope-Intercept Form
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Exercise 6 Page 141

Can you think of two different ways to find the slope, given a graph?

Description: Positive
Slope: 43

Practice makes perfect

Observing the given graph, we can see that the line passes through the points (1,-1) and (4,3). One way to use a graph to find the slope of a line is to count out the change in x and y.

We can see that as the graph travels from left to right, the rise, or change in y, is 4. Similarly, the run, or change in x, is 3. slope=rise/run ⇔ m=4/3 We can confirm this answer by using the other method, the Slope Formula. m = y_2-y_1/x_2-x_1 We will use the given points to solve for the slope.

m = y_2-y_1/x_2-x_1
SubstitutePoints

Substitute ( 1,-1) & ( 4,3)

m=3-( -1)/4- 1
SubNeg

a-(- b)=a+b

m=3+1/4-1
AddSubTerms

Add and subtract terms

m=4/3

A slope of m= 43 means that for every 3 steps in the positive horizontal direction, the graph travels 4 steps in the positive vertical direction.

Subchapter links expand_more
arrow_right Communicate Your Answer p.135
3
arrow_right Monitoring Progress p.136-140
Monitoring Progress 1 (Page 136)
Monitoring Progress 2 (Page 136)
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Monitoring Progress 9 (Page 139)
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Monitoring Progress 13 (Page 140)
arrow_right Exercises p.141-144
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