**South Carolina Education Standards & Learning**. 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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SC.PS. South Carolina College- and Career-Ready Mathematical Process Standards

PS.6. Communicate mathematically and approach mathematical situations with precision.

PS.6c. Use appropriate and precise mathematical language.

SC.8.F. Functions

8.F.3. Investigate the differences between linear and nonlinear functions using multiple representations (i.e. tables, graphs, equations, and verbal descriptions).

8.F.3a. Define an equation in slope-intercept form (y=mx+b) as being a linear function.

8.F.3b. Recognize that the graph of a linear function has a constant rate of change.

8.F.4. Apply the concepts of linear functions to real-world and mathematical situations.

8.F.4a. Understand that the slope is the constant rate of change and the y-intercept is the point where x = 0.

8.F.4b. Determine the slope and the y-intercept of a linear function given multiple representations, including two points, tables, graphs, equations, and verbal descriptions.

8.F.4c. Construct a function in slope-intercept form that models a linear relationship between two quantities.

8.F.4d. Interpret the meaning of the slope and the y-intercept of a linear function in the context of the situation.

SC.8.EEI. Expressions, Equations, and Inequalities

8.EEI.5. Apply concepts of proportional relationships to real-world and mathematical situations.

8.EEI.5a. Graph proportional relationships.

8.EEI.6. Apply concepts of slope and y-intercept to graphs, equations, and proportional relationships.

8.EEI.6a. Explain why the slope, m, is the same between any two distinct points on a non-vertical line using similar triangles.

8.EEI.6b. Derive the slope-intercept form (y=mx+b) for a non-vertical line.

SC.8.DSP. Data Analysis, Statistics, and Probability

8.DSP.3. Apply concepts of an approximate line of best fit in real-world situations.

8.DSP.3b. Interpret the slope and intercept.

Standards