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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

7. Equations of Lines in the Coordinate Plane

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Exercise 1 Page 193

Substitute the given points into the Slope Formula, m= y_2-y_1x_2-x_1.

5

Practice makes perfect

We can calculate the slope by substituting the given points into the Slope Formula. m = y_2-y_1/x_2-x_1 In this equation, ( x_1, y_1) and ( x_2, y_2) represent two points on the line. Note that it does not matter which point we use for ( x_1, y_1) and which point we use for ( x_2, y_2). The result of using the Slope Formula will be the same.

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( 4,5) & ( 6,15)

m=15- 5/6- 4

Subtract terms

m=10/2

Calculate quotient

m=5

The slope of the line that passes through the given points is 5.

Subchapter links

Lesson Check p.193

Practice and Problem-Solving Exercises p.194-196

Standardized Test Prep p.196

Mixed Review p.196