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 9 to 1 in increments of 1. They y-axis ranges from negative 1 to 3 in increments of 1.

Image Long DescriptionPoint upper A has coordinates left parenthesis 0 comma 0 right parenthesis. Point upper B has coordinates left parenthesis negative 8 comma 2 right parenthesis.

Determine the coordinates of point C that divides AB¯¯¯¯¯¯¯¯
into two segments in the ratio 1:4. Write your responses as decimal values (if necessary) to the tenths place.

(1 point)
C is located at (
,
).
A(0,0) B(-8,2)

Answer 1

C divides AB so AC:CB = 1:4, so C = A + (1/5)(B−A).

x_C = 0 + (1/5)(−8) = −1.6
y_C = 0 + (1/5)(2) = 0.4

C is located at (−1.6, 0.4).