celinavelasquez1
celinavelasquez1 celinavelasquez1
  • 25-03-2021
  • Mathematics
contestada

In rhombus MATH, the coordinates of the endpoints of the diagonal MT are M(8,2)
and T(0,6). Write an equation of the line that contains diagonal AH

Respuesta :

tman160429
tman160429 tman160429
  • 25-03-2021

Answer:

y=-1/2x+6

Step-by-step explanation:

1. Midpoint formula

[tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

[tex](\frac{8+0}{2},\frac{2+6}{2})=(4,4)[/tex]

2. Slope

[tex]\frac{y2-x2}{y1-x1}[/tex]

[tex]\frac{6-0}{2-8}=\frac{6}{-6}=-1[/tex]

3. Negative reciprocal = 1

4. y=mx+b

y=-1/2x+6

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