Using y mx b to Model Linear Relationships

T.i.P.S.

Students should use their knowledge of multiple representations and slope to determine which quantity is the independent variable and which is the dependent variable when given two quantities. Students should determine the slope, m and y-intercept, b, from information given in a table, a graph, or words to determine and write the equation in y = mx + b.

Example

Write an equation that can be used to describe the relationship between x and y shown in the graph below.

Hint
Possible Solutions

TEKS

Readiness Standard 8.5 Proportionality. The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions. The student is expected to:

(I) write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations

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