Question Video: Writing Algebraic Expressions That Represent the Length of a Drawn Line Mathematics • First Year of Preparatory School

Video Transcript

Write an expression that represents the length of line segment 𝐴𝐵 in the given figure.

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.