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PRIMARY CONTENT MODULEAlgebra - Linear equations & InequalitiesT-37/H-37 1999, CISC: Curriculum and Instruction Steering CommitteeThe WINNING EQUATIONWhat does the number m in y = mx + bmeasure?To find out, suppose (x1, y1) and (x2, y2) are twopoints on the graph of y = mx + y1 = mx1 + b and y2 = mx2 + Algebra to simplify y2 y1x2 x1And give a geometric this! PRIMARY CONTENT MODULEAlgebra - Linear equations & InequalitiesT-38 1999, CISC: Curriculum and Instruction Steering CommitteeThe WINNING EQUATIONAnswer:y2 y1x2 x1=mx2+b() mx1+b()x2 x1=mx2 mx1+b bx2 x1=mx2 mx1x2 x1=m(x2 x1)x2 x1 distributive property=mNo matter which points (x1,y1) and (x2, y2) arechosen, m = y2 y1x2 what does this mean? PRIMARY CONTENT MODULEAlgebra - Linear equations & InequalitiesT-39 1999, CISC: Curriculum and Instruction Steering CommitteeThe WINNING EQUATIONMeaning of m = y2 y1x2 x1 in y = mx + bm = y2 y1x2 x1 is the rise ( y2 y1) over the run ( x2 x1) andm is called the slope.

PRIMARY CONTENT MODULE Algebra - Linear Equations & Inequalities T-37/H-37 © 1999, CISC: Curriculum and Instruction Steering Committee The WINNING EQUATION

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