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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 1 Page 136

Given a graph, can you think of two different ways to find the slope?

-2/5

Practice makes perfect

Observing the given graph, we can see that the line passes through the points (-4,3) and (1,1). 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 -2. Similarly, the run, or change in x, is 5. slope=rise/run ⇔ m=-2/5 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 ( -4,3) & ( 1,1)

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

a-(- b)=a+b

m=1-3/1+4
AddSubTerms

Add and subtract terms

m=-2/5
MoveNegNumToFrac

Put minus sign in front of fraction

m=-2/5

We obtained the same number as before. We can be sure the slope is - 25.

Subchapter links expand_more
arrow_right Communicate Your Answer p.135
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arrow_right Monitoring Progress p.136-140
Monitoring Progress 1 (Page 136)
Monitoring Progress 2 (Page 136)
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Monitoring Progress 4 (Page 137)
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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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