# Find an equation of the line through the points 6 2

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4.Find an equation of the line through the points (-6, 2) and (4, -7). 5.Write equations of horizontal and vertical lines that pass through (6, -5). 6.Find a linear function given f(8)=6 and f(-4)=2. Then find f(0).
24 Ch 1 Sec 1.4 Equations of Lines and Modeling Parallel and Perpendicular LinesParallel lineshave the same slope. The slopes of perpendicular linesare negative reciprocals. ( So m1∙ m2 = -1) 1.Determine if the lines below are parallel, perpendicular or neither.
2.Write an equation through the point (2, 3) and ….
25 Ch 1 Sec 1.4 Equations of Lines and Modeling Mathematical Modeling Mathematical modeling is describing a real-world problem in mathematical language. In algebra situations are often modeled using functions. 1.Suppose two sets of data are graphed as given below. Which set of data might be modeled using a linear function? 2.The table below shows the cost of a taxi ride based on the number of miles. Miles Cost(\$) 5 4.10 10 6.35 a.Model the data with a linear function. b.Determine the cost of a 15-mile taxi ride.
26 Calculator Steps for Regression Problems (TI83/84) 1. Getting Started: Clear any equations in Y1, Y2etc. Be sure PLOT1 is shaded (on). (If it is not, arrow up to it and hit enter to turn it on.) Be sure the Diagnostics are ON. (Under Catalog, go down to Diagnostics On and hit Enter twice.) 2. To enter the data: Hit STAT Enter. Clear any old data (arrow up to L1, hit CLEAR and ENTER and do the same with L2). Enter the new data. 3. To get the scatterplot: Hit ZOOM 9. 4. To get the regression equation: Hit STAT, arrow over to CALC and then select the kind of regression line you want (linear, quadratic, etc), entering the corresponding number and then hit ENTER. (Steps 5 & 6 allow you to see the graph of the line along with the original points. Very interesting but not necessary for the homework.) 5. To get the equation into Y1: Hit the Y= button. Hit VARS, 5 (statistics), arrow over to EQ and hit ENTER. 6. To graph the line onto the scatterplot: Hit GRAPH. 7. To evaluate the regression equation: Use the equation you selected from the multiple choice answers in the homework and just substitute in the number given. If the equation has not been rounded off from what the graphing calculator gives, you may be able to use the TABLE feature of your calculator to find the answer.
27 Ch 1 Sec 1.4 Equations of Lines and Modeling Linear Regression The graphing calculator can be used to model situations even though a straight line doesn’t perfectly fit all the data.
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