Create line graphs

Learning Objectives Identify the independent and dependent variables from a given scenario or dataset. Set up a Cartesian plane with appropriate labels, titles, and scales for both the x- and y-axes. Accurately plot ordered pairs from a table of values or a linear function. Connect plotted points to create a complete line graph, distinguishing between discrete and continuous data. Create a line graph to model a real-world linear relationship described in a word problem. Interpret the meaning of the slope and y-intercept of a line graph in a real-world context. Ever wondered how to visually track your gaming score over a week or see a company's stock price change in a single glance? 📈 That's the power of a line graph! This tutorial will guide you through the essen...

TermDefinitionExample Line GraphA type of graph that displays information as a series of data points called 'markers' connected by straight line segments. It is used to show how a quantity changes in relation to another, most often over time.A graph showing the daily high temperature in your city for a week, with days on the x-axis and temperature on the y-axis. Independent VariableThe variable that you change or control in an experiment or scenario. It is always plotted on the horizontal x-axis.In an experiment measuring plant growth over time, 'time' (in days or weeks) is the independent variable. Dependent VariableThe variable that is measured or observed. Its value 'depends' on the independent variable. It is always plotted on the vertical y-axis.In the p...

Plotting an Ordered Pair (x, y) Start at the origin (0,0). Move 'x' units horizontally along the x-axis. Then, from that spot, move 'y' units vertically. This is the fundamental rule for placing any data point on a graph. A positive 'x' means move right, negative 'x' means move left. A positive 'y' means move up, negative 'y' means move down. Linear Function Form y = mx + b Many line graphs represent linear functions. In this form, 'm' is the slope (the steepness of the line) and 'b' is the y-intercept (where the line crosses the y-axis). You can use this equation to generate ordered pairs to plot. Slope Formula m = \frac{y_2 - y_1}{x_2 - x_1} The slope 'm' represents the rate o...