**Arkansas Curriculum Frameworks**. Linear equations are equations that have two variables and when graphed are a straight line. Linear equation can be graphed based on their slope and y-intercept. The standard equation for a line is y = mx + b, where m is the slope and b is the y-intercept. Slope can be found with the formula m = (y2 - y1)/(x2 - x1), which represents the change in y over the change in x. Read More...

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Linear equationsWorksheet/Answer key

Linear equations

AR.Math.Content.8.EE. Expressions and Equations

AR.Math.Content.8.EE.B. Understand the connections between proportional relationships, lines, and linear equations.

AR.Math.Content.8.EE.B.5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways (graphs, tables, equations). For example: Compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

AR.Math.Content.8.EE.B.6. Using a non-vertical or non-horizontal line, show why the slope m is the same between any two distinct points by creating similar triangles. Write the equation y = mx for a line through the origin. Be able to write the equation y = mx + b for a line intercepting the vertical axis at b.

AR.Math.Content.8.F. Functions

AR.Math.Content.8.F.B. Use functions to model relationships between quantities.

AR.Math.Content.8.F.B.4. Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from: a verbal description of a relationship; two (x, y) values; a table; a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

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