Indicate the equation of the given line in standard form.The line containing the median of the trapezoid whose vertices are R(-1

Question

yulyashka [42]

3 years ago

7

Indicate the equation of the given line in standard form.The line containing the median of the trapezoid whose vertices are R(-1

, 5) , S(1, 8), T(7, -2), and U(2, 0).

Mathematics

1 answer:

Angelina_Jolie [31] · Answer 1 · 2022-01-15T20:16:43+03:00

Angelina_Jolie [31]3 years ago

5 0

Hello,

R=(-1,5) S=(1,8) T=(7,-2) U=(2,0)
Line RU: y-0=(-2)(0-5)/(2+1)==>y=-5/3 x +10/3
Line ST: y+2=(x-7)(-2-8)/(7-1)==>y=-5/3 x +29/3

RU and St are parallele.

M=middle[RS]=((-1+1)/2,(5+8)/2)=(0,13/2)

Median line: y-13/2=-5/3 (x-0) ==>y=-5/3 x+ 13/2