Chap3 Section4

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 3.4 The Point-Slope Form of a Line 305 Version: Fall 2007 3.4 Exercises In Exercises 1 - 4 , perform each of the following tasks. i. Draw the line on a sheet of graph paper with the given slope m that passes through the given point ( x 0 ,y 0 ). ii. Estimate the y -intercept of the line. iii. Use the point-slope form to determine the equation of the line. Place your answer in slope-intercept form by solv- ing for y . Compare the exact value of the y -intercept with the approxima- tion found in part (ii). 1. m = 2 / 3 and ( x 0 ,y 0 ) = ( 1 , 1) 2. m = 2 / 3 and ( x 0 ,y 0 ) = (1 , 1) 3. m = 3 / 4 and ( x 0 ,y 0 ) = ( 2 , 3) 4. m = 2 / 5 and ( x 0 ,y 0 ) = ( 3 , 2) 5. Find the equation of the line in slope- intercept form that passes through the point (1 , 3) and has a slope of 1. 6. Find the equation of the line in slope- intercept form that passes through the point (0 , 2) and has a slope of 1 / 4. 7. Find the equation of the line in slope- intercept form that passes through the point (1 , 9) and has a slope of 2 / 3. 8. Find the equation of the line in slope- intercept form that passes through the point (1 , 9) and has a slope of 3 / 4. Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 In Exercises 9 - 12 , perform each of the following tasks. i. Set up a coordinate system on a sheet of graph paper and draw the line through the two given points. ii. Use the point-slope form to determine the equation of the line. iii. Place the equation of the line in stan- dard form Ax + By = C , where A , B , and C are integers and A > 0. Label the line in your plot with this result. 9. ( 2 , 1) and (3 , 2) 10. ( 1 , 4) and (2 , 3) 11. ( 2 , 3) and (4 , 3) 12. ( 4 , 4) and (2 , 4) 13. Find the equation of the line in slope- intercept form that passes through the points ( 5 , 5) and (6 , 8). 14. Find the equation of the line in slope- intercept form that passes through the points (6 , 6) and (9 , 7). 15. Find the equation of the line in slope- intercept form that passes through the points ( 4 , 6) and (2 , 4). 16. Find the equation of the line in slope- intercept form that passes through the points ( 1 , 5) and (4 , 4).
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306 Chapter 3 Linear Functions Version: Fall 2007 In Exercises 17 - 20 , perform each of the following tasks. i. Draw the graph of the given linear
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Chap3 Section4 - Section 3.4 The Point-Slope Form of a Line...

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