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Learn about the key components of the y = mx + b equation: y, m, x, and b. Understand their roles and significance in equations. Discover how they describe constants, dependent variables, patterns of change, and more.
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Warm Up • Using the following table and y = mx + b; • 1) What is the y? • 2) What is the b?
Using : y = mx + b • What does this describe? • It is constant (it is going to be a number and stay that number) Answer: m or b
Using : y = mx + b • What does this describe? • Stays “x” when writing an equation. • Answer x
Using : y = mx + b • What does this describe? • Dependent Variable • Answer: y
Using : y = mx + b • What does this describe? • Is in the second column of a table. • Answer: y
Using : y = mx + b • What does this describe? • Pattern of change! • Answer: m
Using : y = mx + b • What does this describe? • INPUT • Answer: x
Using : y = mx + b • What does this describe? • Rise over Run • Answer: m
Using : y = mx + b • What does this describe? • It stays “y” when writing an equation. • Answer: y
Using : y = mx + b • What does this describe? • Independent Variable • Answer: x
Using : y = mx + b • What does this describe? • y – intercept (Where the graph crosses the y – axis.) • Answer: b
Using : y = mx + b • What does this describe? • SLOPE • Answer: m
Using : y = mx + b • What does this describe? • First column in a table. • Answer: x
Using : y = mx + b • What does this describe? • OUTPUT • Answer: y
Using : y = mx + b • What does this describe? • Coefficient of x. • Answer: m