2-4 Practice Writing Linear Equations Write an equation in slope-intercept form for the line described. 1. slope 2, at 0 2. parallel to = 4x + 2, at 4 y-intercept y y-intercept 3. perpendicular to = + 2, 4. parallel to = + 4, at 4 y x y x-intercept –3x passes through (0, 0) 5. perpendicular to = - + , 6. slope , at 3 y x x-intercept – passes through (2, 3) Write an equation in slope-intercept form for each graph. 7. 8. 9. Write an equation in slope-intercept form for the line that satisfies each set of conditions. 10. slope passes through (–3, 11. slope , passes through (10, –5, –8) –3) 12. slope 0, passes through (0, 13. slope , passes through (6, –10) – –8) 14. parallel to = 4x 5, at 15. slope , at y y-intercept x-intercept – –6 –1 16. perpendicular to = 3x 2 17. parallel to = 10, at 9 y y x x-intercept – – passes through (6, –1) 18. passes through (–8, perpendicular to the graph of = 4x 3 y –7), – 19. RESERVOIRS The surface of Grand Lake is at an elevation of 648 feet. During the current drought, the water level is dropping at a rate of 3 inches per day. If this trend continues, write an equation that gives the elevation in feet of the surface of Grand Lake after days. x
2-4 Practice Writing Linear Equations Write an equation in slope-intercept form for the line described. 1. slope 2, y-intercept at 0 2. parallel to y = 4x + 2, y-intercept at 4 3. perpendicular to y = x + 2, 4. parallel to y = –3x + 4, x-intercept at 4 passes through (0, 0) 5. perpendicular to y = - x + , 6. slope – , x-intercept at 3 passes through (2, 3) Write an equation in slope-intercept form for each graph. 7. 8. 9. Write an equation in slope-intercept form for the line that satisfies each set of conditions. 10. slope –5, passes through (–3, –8) 11. slope , passes through (10, –3) 12. slope 0, passes through (0, –10) 13. slope – , passes through (6, –8) 14. parallel to y = 4x – 5, y-intercept at –6 15. slope , x-intercept at –1 16. perpendicular to y = 3x – 2 17. parallel to y = x – 10, x-intercept at 9 passes through (6, –1) 18. passes through (–8, –7), perpendicular to the graph of y = 4x – 3 19. RESERVOIRS The surface of Grand Lake is at an elevation of 648 feet. During the current drought, the water level is dropping at a rate of 3 inches per day. If this trend continues, write an equation that gives the elevation in feet of the surface of Grand Lake after x days.
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