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Pearson Geometry Common Core, 2011 View details

8. Slopes of Parallel and Perpendicular Lines

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Exercise 8 Page 201

Parallel lines have the same slope.

No, see solution.

Practice makes perfect

Two lines are parallel if their slopes are identical.

We have been given two points on each line, so we have enough information to calculate their slopes using the Slope Formula. m=y_2- y_1/x_2- x_1 Note that when choosing points to substitute for ( x_1, y_1) and ( x_2, y_2), it does not matter which points on the line you choose, since the result will be the same. Let's start with line l_1, which passes through ( -5, 1) and ( 1, 3).

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( -5,1) & ( 1,3)

m=3- 1/1-( -5)

SubNeg

a-(- b)=a+b

m=3-1/1+5

AddSubTerms

Add and subtract terms

m=2/6

ReduceFrac

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