Write an expression that represents the length of line segment 𝐴𝐵 in the given
We first note that the length of the line segment is given by the sum of the mutually
exclusive line segments that make up the entire line segment. Let’s call the following point 𝐶. We can see that 𝐴𝐵 is equal to 𝐴𝐶 plus 𝐶𝐵. Since 𝐴𝐶 is equal to seven 𝑥 and 𝐶𝐵 is equal to six 𝑦, we can add these
expressions together to find an expression for 𝐴𝐵. This gives us our final answer of seven 𝑥 plus six 𝑦.