Question: The line passing through the points $ (2, 5) $ and $ (4, 13) $ intersects the y-axis at point $ (0, b) $. What is the value of $ b $?

Thu, 07 May 2026 05:20:11 +0000

**The Line Through (2, 5) and (4, 13): How to Find Where It Meets the Y-Axis** Ever wondered how math helps decode patterns in data, design, or trends? A simple dot on a graph—say, (2, 5) and (4, 13)—holds quiet secrets about slopes, intercepts, and how lines shape visual communication. This common question matters not just to math students, but to anyone exploring how graphs inform decisions—from business analysts to designers. What is the exact point where this line crosses the y-axis, marked as (0, b)? Understanding this connection reveals more than a coordinate—it unlocks clarity in data interpretation, a core skill in Today’s information-driven landscape. **The Value of b: A Gateway to Line Equations** The value of $ b $ represents the y-intercept—the spot where the line crosses the vertical axis. For the line passing through (2, 5) and (4, 13), knowing $ b $ gives a complete picture of its slope and direction. This coordinate appears frequently in technical discussions, from data visualization to economic modeling. Discover how learning this concept improves your ability to analyze trends and make informed choices.