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Math 6/7 NOTES (9.3) Name Graphing Linear Functions The collection of all input values is called the of a function. The collection of all output values is called the of a function. Make a table for
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How to fill out graphing linear functions
How to fill out graphing linear functions:
01
Start by identifying the equation of the linear function. This equation should be in the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept.
02
Plot the y-intercept on the coordinate plane. The y-intercept is the point where the line crosses the y-axis. It can be found by substituting x = 0 into the equation and solving for y.
03
Use the slope to find additional points on the line. The slope represents how the line changes in the vertical direction (y) for every unit change in the horizontal direction (x). For example, if the slope is 2, the line moves upward by 2 units for every 1 unit it moves to the right.
04
To find another point on the line, start from the y-intercept and use the slope to determine the change in y and x. For instance, if the y-intercept is (0, 3) and the slope is 2, you can move up 2 units and to the right 1 unit to find the next point. Repeat this step to find more points.
05
Connect the points on the graph. Once you have plotted enough points, draw a straight line through them to represent the linear function.
Who needs graphing linear functions:
01
Students learning algebra and geometry: Graphing linear functions is an essential skill in mathematics education. It helps students visualize and understand how lines are represented by equations and how their characteristics, like the slope and y-intercept, can be determined.
02
Engineers and scientists: Graphing linear functions is often used in practical applications, such as analyzing data, predicting trends, and solving real-world problems. Professionals in fields like engineering, physics, economics, and statistics frequently use graphing linear functions to model and interpret data.
03
Business professionals: Linear functions can also be useful in business settings. They can be used to analyze sales trends, calculate costs and revenue, determine break-even points, and make predictions about financial performance. Understanding and graphing linear functions can assist business professionals in making informed decisions and setting goals.
In conclusion, understanding how to fill out graphing linear functions is crucial for students studying mathematics and has practical applications for professionals in various fields like engineering, science, and business.
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What is graphing linear functions?
Graphing linear functions is the process of plotting points on a coordinate plane to represent a linear equation.
Who is required to file graphing linear functions?
Students studying algebra or mathematics may be required to graph linear functions as part of their coursework.
How to fill out graphing linear functions?
To fill out graphing linear functions, you need to plot points from the given linear equation on a coordinate plane following the slope and y-intercept.
What is the purpose of graphing linear functions?
The purpose of graphing linear functions is to visualize the relationship between two variables represented by a linear equation.
What information must be reported on graphing linear functions?
The information reported on graphing linear functions includes the equation of the line, the slope, the y-intercept, and coordinates of plotted points.
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