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2.3 Linear Functions and SlopeIntercept Form.notebook 2.3 Linear Functions and Slope-Intercept Form September 10, 2013 Name: _______________ Objective: A.CED.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. What comes to mind when you think of the word SLOPE? The slope of the line through the points (x1,y1) and (x2,y2) is given by m = ______ . Examples: Find the slope of the line between the given points. 1.) (-3,7) and (-2,4) Sep 81:34 PM 2.) (10, 4) and (-4, 6) 3.) (3,1) and (-4,1) 4.) (7,-3) and (7,1) Sep 81:39 PM 1 2.3 Linear Functions and SlopeIntercept Form.notebook September 10, 2013 TYPES OF SLOPE: Negative Slope Falls from left to right Zero Slope Horizontal line y = # Positive slope Rises from left to right Undefined slope Vertical line x = # -Linear function: -x-intercept: -y-intercept: -Slope-intercept form: Sep 81:40 PM Examples: Write the equation of the line in slope-intercept form. 1.) m = 1/5 and the y-intercept is (0,-3) 2.) 3.) Passes through the points (8,5) and (0,7). Examples: Write the equations in slope-intercept form. Identify the slope and y-intercept. 4.) 5x - 4y = 16 Sep 81:46 PM 2 2.3 Linear Functions and SlopeIntercept Form.notebook September 10, 2013 5.) (-3/4)x + (1/2)y = -1 Examples Graph each equation. 6.) y = 2x + 1 7.) 3x + y = -2 Sep 82:06 PM 8.) 4x + 5y = 20 9.) x = 2 10.) y + 5 = 0 Sep 82:09 PM 3 2.3 Linear Functions and SlopeIntercept Form.notebook September 10, 2013 Name: _______________ 2.3 Homework Find the slope between the two points. 1.) (-3,9) and (0,3) 2.) (-2,-1) and (8,-3) 3.) (1,2) and (1,-5) Write the equation of the line in slope-intercept form. 5.) 4.) m = 3, y-intercept is (0,2) 6.) Suppose the equation y = 10x + 12 models the amount of money in your wallet, where y is the total in dollars and x is the number of weeks from today. If you graphed the equation, what would the slope represent in the situation? Sep 82:14 PM Graph. (Make sure the equations are in slope-intercept form before you graph!) 9.) x - 3 = 0 8.) -2x + y = 5 7.) y = 3x 10.) y = 4 11.) 3y - 2x = -12 12.) 4x + 3y = -6 Sep 82:19 PM 4 2.3 Linear Functions and SlopeIntercept Form.notebook September 10, 2013 Sep 109:39 AM 5