Answer:
Perpendicular.
Step-by-step explanation:
Find the slopes of each line through [tex]m = \frac{(y_2-y_1)}{(x_2-x_1 )}[/tex]
Line a:
m = (-10-4) / (8--4)
= -14/12
= -7/6
Line b:
m = (20-8) / (18 -4)
= 12/14
= 6/7
When lines are parallel, they have the same slope. Since -7/2≠6/7, they are not parallel.
When lines are perpendicular, the product of the slopes equals -1.
-7/6 x 6/7 = -1
The product is -1, hence they are perpendicular lines.
The lines passing through the pairs of points are perpendicular.
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
The slope for Line a:
m = (-10-4) / (8--4)
m= -14/12
m= -7/6
The slope for Line b:
m = (20-8) / (18 -4)
m= 12/14
m= 6/7
When lines are parallel, they have the same slope. Since -7/2≠6/7, they are not parallel.
When lines are perpendicular, the product of the slopes equals -1.
-7/6 x 6/7 = -1
The product is -1, hence they are perpendicular lines.
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