Algebra: Graphing Lines 1

How to graph linear functions using tables, as explained by Khan Academy.

Grades 6 through 8 Material from CK-12

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Use ratio and rate reasoning to solve real?world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.


Use variables to represent quantities in a real? world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.





Recognize and represent proportional relationships between quantities.


Use variables to represent numbers and write expressions when solving a real? world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.


Use variables to represent two quantities in a real?world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.


Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance?time graph to a distance?time equation to determine which of two moving objects has greater speed.


Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in 8.)


Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line