**Kentucky Academic Education Standards**. 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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Study GuideLinear equationsWorksheet/Answer key

Linear equationsWorksheet/Answer key

Linear equationsWorksheet/Answer key

Linear equations

Expressions and Equations

Cluster: Understand the connections between proportional relationships, lines and linear equations.

KY.8.EE.5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. (MP.2, MP.3, MP.4)

KY.8.EE.6. Use similar triangles to explain why the slope, m, is the same between any two distinct points on a non-vertical line in the coordinate plane; know the equation y=mx for a line through the origin and the equation y=mx+b for a line intercepting the vertical axis at b. (MP.3, MP.4, MP.7)

Functions

Cluster: Define, evaluate and compare functions.

KY.8.F.3. Understand properties of linear functions. (MP.7)

KY.8.F.3.a. Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line.

Cluster: Use functions to model relationships between quantities.

KY.8.F.4. Construct a function to model a linear relationship between two quantities. (MP.4, MP.5, MP.8)

KY.8.F.4.a. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.

KY.8.F.4.b. 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.

Standards