Algebra 1-Ch.4.3 Write Equations of Parallel & Perpendicular Lin

Problem #2

Determine which of the lines, if any, are parallel. (Select all that apply.)

• Line a

• Line b

• Line c

Problem #2

Determine which of the lines, if any, are parallel.

Explain.

• Because they do not have the same slope.

• Because they have the same slope.

Problem #4

Determine which of the lines, if any, are parallel. Explain. (Select all that apply.)

Line a passes through (−1, 3)​ and (1, 9)​ .

Line b passes through (−2, 12)​ and (−1, 14)​ .

Line c passes through (3, 8)​ and (6, 10)​ .

• Line a

• Line b

• Line c

• None, because they do not have the same slope.

• Because they have the same slope.

Problem #6

Determine which of the lines, if any, are parallel. (Select all that apply.)

Line a:  3y−x=6​

Line b:  3y=x+18​

Line c:  3y-2x=9

• Line a

• Line b

• Line c

Problem #6

Determine which of the lines, if any, are parallel.

Explain.

Line a:  3y−x=6​

Line b:  3y=x+18​

Line c:  3y-2x=9

• Because they have negative reciprocal slopes.

• None, because they do not have the same slope.

• Because they have the same slope.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Problem #12

Determine which of the lines, if any, are parallel or perpendicular. (Select all that apply.)

• Line a

• Line b

• Line c

Problem #12

Determine which of the lines, if any, are parallel or perpendicular. Explain.

• None of the lines are parallel or perpendicular.

• The lines are parallel because they have the same slope; but they are not perpendicular.

• The lines are perpendicular because the slopes are negative reciprocals of each other. None of the lines are parallel.

Problem #14

Determine which of the lines, if any, are parallel or perpendicular. (Select all that apply.)

Line a passes through (2, 10)​ and (4, 13)​.

Line b passes through (4, 9)​ and (6, 12).

Line c passes through (2, 10)​ and (4, 9)​.

• Line a

• Line b

• Line c