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Weighted averages

Problem

Point start color #ff00af, A, end color #ff00af is at left parenthesis, minus, 9, comma, 10, right parenthesis and point start color #6495ed, B, end color #6495ed is at left parenthesis, minus, 5, comma, 2, right parenthesis.
If point start color #9d38bd, M, end color #9d38bd, equals, left parenthesis, 1, minus, t, right parenthesis, start color #ff00af, A, end color #ff00af, plus, t, start color #6495ed, B, end color #6495ed, equals, left parenthesis, minus, 7, comma, 6, right parenthesis, what is the value of t?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
You can use the interactive diagram below to help you :
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