Question

1. plot points a (-2, 3) and b (10, 6) on the coordinate plane. locate the point on ab that is 1/3 of the way from a to b. label the point c. what are the coordinates of c?

Explanation:

Step1: Find x - coordinate of C

\(x_C=-2+\frac{1}{3}(10 - (-2))=-2 + 4=2\)

Step2: Find y - coordinate of C

\(y_C=3+\frac{1}{3}(6 - 3)=3 + 1=4\)

Answer:

Let \(A(-2,3)\) and \(B(10,6)\). The coordinates of point \(C\) which is \(\frac{1}{3}\) of the way from \(A\) to \(B\) are \((2,4)\)