line segment mathrm cap r cap s has endpoints cap r times open paren 3 comma 5 close paren and cap s times open paren negative 3 comma negative 1 close paren Which statement explains whether the midpoint cap m of line segment mathrm cap r cap s lies on the y -axis?
Answer
A
cap m is equal to open paren the fraction with numerator 5 plus 3 and denominator 2 comma the fraction with numerator negative 3 minus 1 and denominator 2 close paren is equal to open paren 4 comma negative 2 close paren does not lie on the x - or y -axis because neither coordinate is zero.
B
cap m is equal to open paren the fraction with numerator 3 minus 3 and denominator 2 comma the fraction with numerator 5 minus 1 and denominator 2 close paren is equal to open paren 0 comma 2 close paren lies on the y -axis because the x -coordinate is zero.
C
cap m is equal to open paren the fraction with numerator 5 minus 1 and denominator 2 comma the fraction with numerator 3 minus 3 and denominator 2 close paren is equal to open paren 2 comma 0 close paren lies on the y -axis because the y -coordinate is zero.
D
cap m is equal to open paren the fraction with numerator 3 plus 3 and denominator 2 comma the fraction with numerator 5 plus 1 and denominator 2 close paren is equal to open paren 3 comma 3 close paren does not lie on the x - or y -axis because neither coordinate is zero.