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2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 HW p64;1,10-24 all, 31,32,40,41 1.) D = {0,3,4,} R = {-2,1,2,4} 10.) no 11.) yes 12.) no 13.) yes 14.) no 15.) yes 16.) yes 17.) 71, (4,71) 18.) 3, ( -5,3) 19.) -15, ( 9, -15) 20.) -65, (7, -65) 21.) -2, ( 3, -2) 40.) B 41.) H 22.) 23.) -132, ( -11, -132) 24.) 1 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 2 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 3 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 2.3 Linear Functions and Slope Intercept Form Remember Algebra I? Most lines have these characteristics: y 5 1.) Slope 2.) y-intercept 4 3 2 Slope = 1 yintercept = x 5 4 3 2 1 0 1 2 3 4 5 1 2 3 4 What is the equation of this line? 5 slope intercept form 4 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 What is are some differences between the first 3 lines and the vertical line? The vertical line: 1.) Is not a function 2.) Has no slope 3.) Has no y-intercept 5 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 Calculate the slope passing through the following points... (rely on your calculator to do the heavy work!) x-intercept- the point where a line crosses the x-axis. (x,0). y- intercept- the point where a line crosses the y-axis. (0,y) (also...the b value in slope-intercept form) 6 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 Write an equation for each line. 1.) m=6 and the y-intercept is (0,-5). 3.) 2.) m = 0 and the y-intercept is (0,4) 7 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 Write each equation in slope-intercept form. "Solve for y"- easy to graph a line that is solved for y! 1.) 2.) 8 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 What is the slope and y-intercept of each equation? think... y=0x+4 1.) 2.) Think...there is no y! that only happens for vertical lines... 3.) m= m= m= b= b= b= 9 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 Graph the equation. 1. Solve for y. y 6 5 4 3 2 1 6 5 4 3 2 1 1 x 0 1 2 3 4 5 6 2 3 2. Find the slope(m) and the y-intercept(b). 4 5 6 3. Draw! 10 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 Graph the equation. y 6 5 4 3 2 1 6 5 4 3 2 1 1 x 0 1 2 3 4 5 6 2 3 4 5 6 11 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 HW p. 78; 9-15 odd, 18,19,20,23-35 odd, 47,51,59 12 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 Find the slope of the line through the two points. Find the slope and y intercept of the line 13 2.3 Linear Functions and SlopeIntercept Form.notebook September 25, 2015 HW p. 78; 9-15 odd, 18,19,20,23-35 odd, 18.) 20.) y= -2 14