Linear Function: Formula, Graph, Examples · Algebra Mathematics

In this video, you'll learn how to quickly and accurately determine whether a function is linear or not. We'll cover: ✅ What is a linear function ✅ The formula y = kx + b ✅ What do the coefficients k and b mean ✅ Why is k not equal to zero ✅ What does the graph of a linear function look like We'll also cover: – Direct proportionality (y = kx) as a special case of a linear function – Why do such graphs always pass through the origin – How does the sign of the coefficient k affect the slope of a line – How to plot a graph using points With examples, you'll see: 🔹 How to substitute x values 🔹 How to find the coordinates of points 🔹 How to quickly plot a line using two points 🔹 Why are lines with the same k parallel? 🔹 What happens if k is different We'll also cover: – A linear function with a coefficient b – How does it shift a graph up or down – How does it differ from direct proportionality After this lesson, you'll be able to: 🔸 Confidently distinguish between Linear functions from nonlinear ones 🔸 Understand their graphs 🔸 Quickly plot lines on the coordinate plane This lesson is suitable for: – Preparing for tests – Reviewing the topic of functions – Understanding graphs from scratch Telegram: https://t.me/icanmathalgebra