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Which of the lines are perpendicular? a and db and dc and dWhich of the lines are parallel?a and ba and cb and c

Which of the lines are perpendicular? a and db and dc and dWhich of the lines are-example-1

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First, we have to calculate the slopes of each line:

Slope m = variation on y / variation on x

• Line a.

m = (6-4)/ (5-(-1))= 2/6 =1/3

• Line b:

m= (2-1) / 3-(-1) = 1/4

• Line C:

m = (0-(-2))/ (3-(-3)) = 2/6 = 1/3

• Line d:

m= (-2-6)/(3-1) = -8/2 = -4

Parallel lines have the same slope.

a= 1/3, c= 1/3

a and c are parallel lines

Perpendicular lines have inverse reciprocal slopes.

b= 1/4, d =-4

-4 is the inverse reciprocal of 1/4

b and d are perpendicular lines.

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