Applying Distance Formula, Midpoint and Slope to Real World Problems

If two points, A and B, have coordinates of A(-2,10) and B(6,-4), then which of the following points lies at the midpoint of midpoint of AB?

• (4,7)

• (8,-14)

• (4,3)

• (2,3)

Segment AB has endpoints with coordinates A(3,6) and B(-2,-4). In simplest radical form, the length of segment AB is

The slope of the line that passes through the points (2,4) and (-1,9) is

Line l passes through the points (-5,3) and (3,7). If line m is perpendicular to line l, the slope of line m is equal to

Line l passes through the points (6,-14) and (2,-4). If line m is parallel to line l, the slope of line m is equal to

AB: Consider ΔABC with vertices A(-3,1), B(1,-2), and C(4,2) as shown in the accompanying diagram. Determine the length of side AB in simplest radical form, where appropriate. Answer Example: if you get 7 square root 2, write your answer as 7sqrt(2).

BC: Consider ΔABC with vertices A(-3,1), B(1,-2), and C(4,2) as shown in the accompanying diagram. Determine the length of side BC in simplest radical form, where appropriate. Answer Example: if you get 7 square root 2, write your answer as 7sqrt(2).

AC: Consider ΔABC with vertices A(-3,1), B(1,-2), and C(4,2) as shown in the accompanying diagram. Determine the length of side AC in simplest radical form, where appropriate. Answer Example: if you get 7 square root 2, write your answer as 7sqrt(2).

m of AB: Consider ΔABC with vertices A(-3,1), B(1,-2), and C(4,2) as shown in the accompanying diagram. Determine the slope of AB in simplest form, where appropriate. Answer Example: if you get 8/6, that simplifies to 4/3

m of BC: Consider ΔABC with vertices A(-3,1), B(1,-2), and C(4,2) as shown in the accompanying diagram. Determine the slope of BC in simplest form, where appropriate. Answer Example: if you get 8/6, that simplifies to 4/3