Question

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

Answer 1

y=-1/2x+6

Explanation:

1. Midpoint formula

`((x1+x2)/(2),(y1+y2)/(2))`

`((8+0)/(2),(2+6)/(2))=(4,4)`

2. Slope

`(y2-x2)/(y1-x1)`

`(6-0)/(2-8)=(6)/(-6)=-1`

3. Negative reciprocal = 1

4. y=mx+b

y=-1/2x+6