The midpoint between y and 33 is −7. Find y.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given:
The midpoint between y and 33 is −7.
Find y.
Midpoint formula:
m = (y1 + y2)/2
Solution:
Substitute the given value of 33 and -7 to the mid point formula
-7 = (y1 + 33)/2
Multiply both sides by 2 to cancel out 2 in the denominator.
(2)(-7) = (2)(y1 + 33)/2
-14 = y1 + 33
Transpose 33 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
y1 = -14 - 33
y1 = -47
Final answer:
y = -47