Question

Given A(−1,2)
and B(3,6)
, find the coordinates of point X
on AB¯¯¯¯¯¯¯¯
such that the ratio of AX
to XB
is 3:5.(1 point)
Responses

(−14,312)
left paren negative Start Fraction 1 over 4 End Fraction comma 3 start fraction 1 over 2 right paren

(112,112)
left paren 1 Start Fraction 1 over 2 End Fraction comma 1 start fraction 1 over 2 end fraction right paren

(12,312)
left paren Start Fraction 1 over 2 End Fraction comma 3 start fraction 1 over 2 right paren

(125,425)

Answer 1

AX:XB = 3:5 so X = A + (3/8)(B−A).
B−A = (4,4), so X = (−1,2) + (3/8)(4,4) = (−1 + 3/2, 2 + 3/2) = (1/2, 7/2).

Choice: (1/2, 3 1/2).