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Proportionality - Relationships Involving Slope

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(4)  Proportionality. The student applies mathematical process standards to explain proportional and non-proportional relationships involving slope. The student is expected to:

(A)  use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 - y1)/ (x2 - x1), is the same for any two points (x1, y1) and (x2, y2) on the same line;

(B)  graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship; and

(C)  use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.