Question

Use the image to answer the question.

Segment upper A upper B is graphed on a coordinate plane. The x-axis ranges from negative 2 to 2 in increments of 1. The y-axis ranges from negative 1 to 7 in increments of 1.

Determine the coordinates of point J
on AB¯¯¯¯¯¯¯¯
so that the ratio of AJ
to JB
is 1:1.

(1 point)
Responses

J(0,3)
upper J left parenthesis 0 comma 3 right parenthesis

J(0,2)
upper J left parenthesis 0 comma 2 right parenthesis

J(0,−3)
upper J left parenthesis 0 comma negative 3 right parenthesis

J(3,0)

Answer 1

J(0, 3)

Reason: The midpoint formula gives J = ((xA + xB)/2, (yA + yB)/2). From the graph A = (-2, 0) and B = (2, 6), so J = ((-2+2)/2, (0+6)/2) = (0, 3).