Complete a table and graph a linear function

Learning Objectives Calculate output values (y) for given input values (x) using a linear function rule. Create a table of ordered pairs (x, y) from a linear function. Accurately plot ordered pairs on a coordinate plane. Draw a straight line through plotted points to represent a linear function. Identify the relationship between a linear equation, its table of values, and its graph. Interpret points on a graph in the context of a linear function. Ever wonder how scientists predict the path of a hurricane 🌀 or how much money you'll earn working an hourly job? It all starts with understanding how things change in a straight line! In this lesson, you'll learn how to take a linear equation, organize its solutions in a table, and then visually represent it on a graph....

TermDefinitionExample Linear FunctionAn equation whose graph is a straight line. It describes a relationship where a constant change in one quantity results in a constant change in another.The equation `y = 3x - 2` is a linear function. Input (x) / Output (y)In a function, the input (x) is the value you start with, and the output (y) is the value you get after applying the function rule.In `y = x + 5`, if `x = 2` (input), then `y = 7` (output). Table of ValuesAn organized list that shows several input (x) values and their corresponding output (y) values for a given function.For `y = x + 5`: | x | y | (x, y) | |---|---|--------| | 0 | 5 | (0, 5) | | 1 | 6 | (1, 6) | Ordered PairA pair of numbers (x, y) that represents a single point on a coordinate plane. The x-coordinate tells you the hor...

Linear Function Standard Form `y = mx + b` This is the most common way to write a linear function, where `m` is the slope (rate of change) and `b` is the y-intercept (the starting value or where the line crosses the y-axis). To find `y` for a given `x`, substitute `x` into the equation and calculate. Creating Ordered Pairs `(x, y)` To graph a linear function, you need at least two points. These points are represented as ordered pairs `(x, y)`. For each input `x` you choose, calculate the corresponding output `y` using the function's equation. Each `(x, y)` pair is a point on the line. Plotting Points on a Coordinate Plane Start at `(0, 0)`, move `x` units horizontally, then `y` units vertically. To plot an ordered pair `(x, y)`, start at the origin `(0, 0)`. Mov...