Exercise 10 Page 57

We are asked to calculate the midpoint of two points and the distance between them. Let's do each step separately.

Calculating the Midpoint

To find the midpoint, we can use the Midpoint Formula. (x_1+x_2/2,y_1+y_2/2)The coordinates of the given endpoints are (-2,4) and (3,9). Let's use these to find the coordinates of the midpoint.

The midpoint is located at ( 12, 132). We can see that on the graph.

Calculating the Distance

To determine the distance between two points we can use the Distance Formula. Recall that the coordinates of the given points are S(-2,4) and T(3,9).

The distance between S and T is 5sqrt(2). We can use a calculator to approximate its value. 5sqrt(2) ≈ 7.1