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Early Work – Apr. 20 • See Ms. Smith to verify what $150 prize you are working towards. • How are you working towards it? Polyhedron • Grade Sheet back • Expectations 15 minute AM Early Work – Apr. 24 • You do not have to write this. Just show work. – Create a number with at least 3 digits. – Reverse the order of the numbers (you should then have two numbers). – Subtract the smaller number from the larger number to get the difference. – Add the digits in the difference together. – Continue adding the digits in the answer together until you have a single digit answer. – What is the answer? (Check with your neighbor) Ch. 8 Linear Functions Lesson 8.1 Representing Linear Functions by Graphs Labeling Labeling Ordered Pair Definitions • Linear Function – a function whose graph is a straight line – Function – a set of points that each have a different x-value • Domain – the set of x-values that work in the function • Range – the set of y-values that work in the function Definitions • Independent Variable – the variable that you control (the x) • Dependent Variable – “depends” on the independent variable (the y) Lesson 8.2 Exploring Slope Slope • The ratio of the vertical rise to the horizontal run. • Measures the steepness of a line • Denoted by a lower case m. • Thought of as: Directions and Signs • + – Forward and to right • – Downward and to the left – Negative only goes with one direction • Two negatives will make a positive Pictures of Slope (4) Finding Slope with two points Slope as a Difference Ratio y2 y1 m x2 x1 Example: (1, 2) and (3, 5) Example • Find the slope between the points (2, 4) and (-1, -3). Lesson 8.4 The Slope-Intercept Form Slope Intercept Form • y = mx + b How to use Slope-Intercept Form • Graph the y-int first. • Then from the y-int, count to the next point using the slope to count the rise and the run. • Plot at least three points before drawing a line Graph the following equations Write an equation from two points • Write an equation from the points (3, 3) and (5, 7). Write an equation from two points • Write an equation from the points (2, 1) and (5, 6). Example • Write the equation of a line with slope 11 and y-int 15. Exercises & Problems • P 432: 2 – 4, 13 – 16 • P 438: 7 – 9, 11 – 16, 23 – 26, 31 – 48 • P 456: 3 – 5, 7, 11 – 39, 41 – 42