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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

2. Slope of a Line

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Exercise 29 Page 153

Substitute two points from the given table into the Slope Formula.

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Practice makes perfect

We can calculate the slope by substituting two points from the given table into the Slope Formula. m = y_2-y_1/x_2-x_1 Note that it does not matter which point we choose to use for ( x_1, y_1) and ( x_2, y_2), since the result of using the Slope Formula will be the same.

m=y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( -3,0) & ( 7,4)

m=4- 0/7-( -3)

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Add and subtract terms

a-(- b)=a+b

m=4-0/7+3

Add and subtract terms

m=4/10

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Simplify

a/b=.a /2./.b /2.

m=4/2/10/2

Calculate quotient

m=2/5

The slope of the line that passes through the given points is 25.

Subchapter links

Try It p.149-150

Self-Assessment for Concepts & Skills p.150

Self-Assessment for Problem Solving p.151

Review & Refresh p.152

Concepts, Skills, & Problem Solving p.152-154