Assume that y varies directly with x. If y = 16 when x = 8, find y when x = 5.
1 answer:
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Answer:
Option (2)
Step-by-step explanation:
1). If two lines have the same slope, lines are defined as parallel.
m₁ = m₂
2). If the multiplication of the slopes of two lines is (-1), lines will be perpendicular.
m₁ × m₂ = (-1)
Line 1 : It passes through two points (-2, 10) and (1, 1).
Slope of the line 1 =
=
=
m₁ =
Line 2 : It passes through two points (-2, 8) and (2, -4).
Slope of the line 2 =
=
=
m₂ = -3
Since, m₁ × m₂ =
= (-1)
Therefore, given lines are perpendicular to each other.
Option (2) is the correct option.