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Unit 4 Review Package - Linear Equations and Systems KEY (1).docx

Unit 4 Review Package - Linear Equations and Systems KEY (1).docx

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Math 10c – Unit 4: Linear Relations – Unit Review Part 1 – Linear Equations 1) Slope How can we determine slope given a graph? Count how many units the line goes up or down (rise) and… Count how many units the line goes left or right (run) until you hit another point on the graph What is the formula to calculate slope? m = rise run or m = ∆ y ∆ x = y 2 y 1 x 2 x 1 How can we determine if a slope is positive or negative? The slope will be negative if the line goes down or if the line goes left, but not both down and left! Negative slope Negative slope Positive slope What is the slope of a horizontal line? What’s the slope of a vertical line? Slope is always 0 Slope is undefined m = rise run = rise 0 = impossible m = rise run = ¿ 0 run = 0 2) Parallel and Perpendicular Lines What is the slope of a line that is parallel to another line? Parallel lines have the same slope Ex. If the slope is 5 3 , a parallel line will have slope 5 3 What is the slope of a line that is perpendicular to another line?
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It will be the negative reciprocal Ex. If the slope is 5 3 , a perpendicular line will have the slope - 3 5 If we multiply the slopes of perpendicular lines, what will the product always be? m 1 x m 2 = -1 3) Form 1: Slope y-intercept Form (y = mx + b) How can we determine the slope and/or y-intercept of a line given its equation?
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