hoaglandariael
Answered

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( , )

Verified Answer :

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 \((-4,-5)\).

EXPLANATION

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

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

Hence one possible coordinates of point T is \((2,-1)\) 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 \(x=-4\) and the horizontal line that passes through \(S(2,-5)\) which also has equation \(y=-5\).


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


Therefore the required coordinates of T is \((-4,-5)\)

See diagram in attachment

View image kudzordzifrancis