Slope and First Difference…How are they related



5029200-11430000Recall:Slope:Slope represents the steepness of the graphSlope is the same as the rate of changeFormulas for slope:Equation of a Line:Graph the lines y=12x+2 and y=-x-331718251905000First Differences:When calculating first differences, the values of x (the independent variable) must __________________________________________________.If the first differences are the same then the relations is ________________.If the first differences are the different then the relations is ______________.Example 1 The equation of a line is y=3x+2a) Fill in the table of values below:b) Graph the Relation:32289759017000xyFirst Diff.01234c) Calculate the slope using first differences:d) Calculate the slope using the graph:Example 2 xyFirst Diff.-61-46-211016221Calculate the first differences.Is the relation linear or non-linear?If it is linear, calculate the slope of the lines:Find the equation of the relation:Homework: pg. 277 # 2bd, 4, 5, 6, C1Slope questions - pg. 284 # 1, 2, 3ab ................
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