What transformation is represented by the rule (x, y)→(x−1, y+3) ?
1 answer:
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( - 10, - 22 )
using the midpoint formula,
let the other endpoint have coordinates (x, y) then
(2 + x ) = - 4 ( multiply through by 2 )
2 + x = - 8 ( subtract 2 from both sides ) then
x = -8 - 2 = - 10 ← value of x-coordinate
Similarly for y-coordinate
(8 + y ) = - 7 ( multiply through by 2 )
8 + y = - 14 ( subtract 8 from both sides )
y = - 14 - 8 = - 22 ← y -coordinate
the other endpoint is ( - 10, - 22 )