Which line is perpendicular to a line that has a slope of -1/3? a. line MN
b. line AB
c. line EF
d. line JK

Option (c)

Step-by-step explanation:

Slope of a line that passing through two points M(-1, 4) and N(2, -5),

=

   =

   = -()

   = -

To find the line perpendicular line to MN we will use the property,

Where and are the slopes of two perpendicular lines.

Slope of line perpendicular to MN will be,

Slope of line joining two points J(-3, -4) and K(3, -2),

Slope =

Slope of line joining two points A(-3, 2) and B(3, 0)

Slope =

Slope of the line joining points E(0, -3) and F(2, 3),

Slope = = 3

Therefore, line EF is perpendicular to the line MN.

Option (c) is the answer.

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