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Unformatted text preview: Section 3.4 The PointSlope 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 ,y ). ii. Estimate the yintercept of the line. iii. Use the pointslope form to determine the equation of the line. Place your answer in slopeintercept form by solv ing for y . Compare the exact value of the yintercept with the approxima tion found in part (ii). 1. m = 2 / 3 and ( x ,y ) = ( − 1 , − 1) 2. m = − 2 / 3 and ( x ,y ) = (1 , − 1) 3. m = − 3 / 4 and ( x ,y ) = ( − 2 , 3) 4. m = 2 / 5 and ( x ,y ) = ( − 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 pointslope 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). 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 equation on graph paper and label it with its equation. ii. Determine the slope of the given equa tion, then use this slope to draw a second line through the given point P that is parallel to the first line. iii. Estimate the yintercept of the sec ond line from your graph. iv. Use the pointslope form to determine the equation of the second line. Place this result in slopeintercept form y = mx + b , then state the exact value of the yintercept. Label the second line with the slopeintercept form of its equation....
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 Slope, Linear function, teakettles

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