Endpoints of segment mn have coordinates (0, −3), (−2, −4). endpoints of segment ab have coordinates (2, 5), (4, k).

what value of k makes these segments perpendicular?

The answer to your question is: k = 1

Step-by-step explanation:

Data

MN    (0, -3)  ,  (-2, -4)

AB     (2, 5)   ,  (4 , k)

Formula

Process

Slope MN =   =

Slope AB =

If the lines are perpendicular then,

                  -4 = k - 5

                 k = -4 + 5

                 k = 1

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

x=6 and x=3

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