+0

# HELP ASAP

0
60
1

A segment with endpoints at $A(2, -2)$ and $B(14, 4)$ is extended through $B$ to point $C$. If $BC = \frac{1}{3} \cdot AB$, what are the coordinates for point $C$? Express your answer as an ordered pair.

Jan 28, 2021

#1
+11086
+1

A segment with endpoints at A(2,-2) and B(14,4) is extended through B to point C. If $$BC=\frac{1}{3}\cdot AB$$, what are the coordinates for point C? Express your answer as an ordered pair.

Hello Guest!

$$\Delta x_{AB}=14-2=12\\ \Delta y_{AB}=4-(-2)=6$$

$$x_C=x_B+\frac{1}{3}\ \Delta x_{AB}= 14+\frac{12}{3}=28\\ y_C=y_B+\frac{1}{3}\ \Delta y_{AB}=4+\frac{6}{3}=6$$

The coordinates for point C are C (28.6).

!

Jan 29, 2021
edited by asinus  Jan 29, 2021