Linear Functions

Watch the full Functions Mastery series here: https://www.youtube.com/playlist?list=PLYwmph9IamQl6zIC1_LuYY6CyuZt68nJP $$Lesson Overview$$ Welcome to Lesson 8! In this tutorial, we focus on the most fundamental type of relationship in algebra: the Linear Function. We explore the geometry of straight lines, learn how to calculate "steepness" using slope, and find out how to write equations that describe linear motion and patterns. $$Tutorial Objectives$$ In this lesson, you will learn: The Linear Equation: Defining $y = mx + c$ and identifying the slope ($m$) and $y$-intercept ($c$). Writing Equations: How to construct a line equation given a slope and a point, or just two points. Calculating Slope: Finding the "Rise over Run" from a graph or using the slope formula with coordinates. Parallel Lines: Understanding why lines with equal slopes never meet. Perpendicular Lines: Mastering the negative reciprocal rule for lines that cross at 90 degrees. #MathTutorial #LinearFunctions #Algebra #SlopeInterceptForm #GraphingLines #MathLesson #STEM #AlgebraicThinking 💬 Initial Comment (Pinned) "Lesson 8 is officially live! 📏 Today we master the art of the straight line. Lesson Challenge: If a line has a slope of 3 and passes through $(0, 5)$, what is its equation? (Hint: check the 10-minute mark!). Let me know your answer below! 👇"