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4.5 Writing Point Slope Equations to Fit data State Standards: C1. Apply properties of operations and the real number system and justify when they hold for a set of numbers.A2. Generalize and explain patterns and sequences in order to find the next term and the nth term. B3. Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations.J15. Describe and interpret rates of change from graphical and numerical data. Objective: Complete the questions in the form below. If you do not complete these in class, they will become homework. Graded out of 20 points. State Standards: C1. Apply properties of operations and the real number system and justify when they hold for a set of numbers.A2. Generalize and explain patterns and sequences in order to find the next term and the nth term. B3. Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations.J15. Describe and interpret rates of change from graphical and numerical data. Objective: Complete the questions in the form below. If you do not complete these in class, they will become homework. Graded out of 20 points. The form y=y1+b(x-x1) of a linear equation in which (x1,y1) is a point on the line an B is the slope. Find the equation of the line that passes through the points (1,2) and (3,4) Point slope equation: y=y1+b(X-X1) Find The slope: Y=2+2/2(x-1) Graph the linear equation on your calculator and name the x - intercept. Make a conjecture about the x – intercept of any equation in the form y = b ( x x1). Problems: 1.) y = 2 (x – 3) 2.) y = 1/3 (x – 4 ) 3.) y = -1.5 ( x – 6 ) 1.) 2 2.) 1/3 3.) – 1.5 Alex collected this table of data by using two thermometers simultaneously. Alex suspects that one or both of the thermometers are some what faulty Celsius Fahrenheit 14.5 55.0 20.0 67.0 28.4 87.6 39.5 105.6 Write an equation in point slope form that models Alex’s data. Y-y1=m(x-x1 ) Y-55.0=12/5.5(x-14.5) Find the equation of the line that passes through the points (79,47) and (67,30) (USE THE SECOND POINT AS THE POINT IN THE POINT SLOPE FORM) Y-y1=m(x-x1) Y-30=-17/-12(x-67) Murdock, Jerald, Ellen Kamischke, and Eric Kamischke. Discovering Algebra An Investigative Approach. Emeryville, Ca: Key Curriculum Pr, 2006. Print.