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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Chapter Review

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Exercise 15 Page 188

Substitute the given points into the Slope Formula.

1

Practice makes perfect

We are given a table of points that lie on a line.

x	0	1	2	3
y	- 1	0	1	2

We can calculate the slope by substituting only two points of 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 ( 2,1) & ( 3, 2)

m=2- 1/3- 2

Subtract terms

m=1/1

a/a=1

m=1

The slope of the line that passes through the given points is 1.

Subchapter links

1 Graphing Linear Equations p.187

2 Slope of a Line p.188

3 Graphing Proportional Relationships p.188-189

4 Graphing Linear Equations in Slope-Intercept Form p.189

5 Graphing Linear Equations in Standard Form p.190

6 Writing Equations in Slope-Intercept Form p.190-191

7 Writing Equations in Point-Slope Form p.191