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The points R(−4, −1) and S(2, −5) are two vertices of right triangle RST . The hypotenuse of the triangle is RS.

Point T is in quadrant 3.

What are the coordinates of point T?

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T( , )

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Hagrid
The correct answer for this question is this one:

The points are R(−4, −1) and S(2, −5)

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

m = 3/2

So point T can be (-4, -5)

Hope this helps answer your question. Should you have more questions, do not hesitate to post in brainly.
kudzordzifrancis

ANSWER

The coordinates of point T are [tex](-4,-5)[/tex].

EXPLANATION

We were given that the hypotenuse of the right angle triangle has vertices [tex]R(-4,-1)[/tex] and [tex]S(2,-5)[/tex].

The third point T is the intersection of the horizontal line that passes through R(-4,-1), that has equation [tex]y=-1[/tex] and the vertical line that passes through [tex]S(2,-5)[/tex] which also has equation [tex]x=2[/tex].

Hence one possible coordinates of point T is [tex](2,-1)[/tex] which lies in the fourth quadrant.


The third point T could also be the intersection of the vertical line that passes through R(-4,-1), that has equation [tex]x=-4[/tex] and the horizontal line that passes through [tex]S(2,-5)[/tex] which also has equation [tex]y=-5[/tex].


Hence another possible coordinates of point T is [tex](-4,-5)[/tex] which lies in the third quadrant.


Therefore the required coordinates of T is [tex](-4,-5)[/tex]

See diagram in attachment

Ver imagen kudzordzifrancis

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