Chapter ] Func 226 Chapter 1 Functions and Graphs In Exercises 5-8, use the given conditions to write an equation for Ap each line in point-slope form and slope-intercept form. The 5. Passing through (-8, -10) and parallel to the line whose Ame equation is y = -4x + 3 health 6. Passing through (-2, -7) and parallel to the line whose equation is y = -5x + 4 7. Passing through (2. -3) and perpendicular to the line whose equation is y = 3x + 6 8. Passing through (-4, 2) and perpendicular to the line whose equation is y = x + 7 In Exercises 9-12, use the given conditions to write an equation for Percentage of Total Spending each line in point-slope form and general form. 9. Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0 10. Passing through (-1, 3) and parallel to the line whose equation is 3x - 2y - 5 = 0 11. Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0 12. Passing through (5, -9) and perpendicular to the line whose equation is x + 7y - 12 = 0 Source: In Exercises 13-18, find the average rate of change of the function In Exercises 2 from x1 to x2. that models the 13. f(x) = 3x from x, = 0 to x2 percentage of to 214. f(x) = 6x from x, = 0 to x2 = 4 27. In 1950, An 15. ((x) = x x2 + 2x from x1 = 3 to x2 = 5 has decrease 16. f(x) = x2 - 2x from x, = 3 to X2 = 6 year since th 17. ((x) = Vx from x, = 4 to x2 28. In 1950, Ame 18. f(x) = Vx from x, = 9 to x2 = 16 This has incre per year since InA Exercises 19-20, suppose that a ball is rolling down a ramp. The distance traveled by the ball is given by the function in each The stated intent of exercise, where t is the time, in seconds, after the ball is released, reduce the number and s(1) is measured in feet. For each given function, find the the military. Nearly dismissed wider theS Profiles Tab Window Help 4/pages/249?locale=&platformld=1030&iesCode=NS1H7rH5Hp Chapter 1 Functions and Graphs Fill in each blank so that the resultinsweet 1. If two nonvertical lines are parallel, then they have 5. The slope of the line through the distinct points slope. (x1, y1) and (X2, )2) can be interpreted as the rate of 2. If two nonvertical lines are perpendicular, then the change in with respect to - product of their slopes is 6. If (x1, f(x1)) and (x2, f(x2)) are distinct points on the 3. Consider the line whose equation is y - -3x + 5. The graph of a function f, the average rate of change of f slope of any line that is parallel to this line is The slope of any line that is perpendicular to this line Ay from x1 to x2 is is 4. Consider the line whose equation is 2x + y - 6 - 0. 7. A function expresses an object's position, s(1), in terms The slope of any line that is parallel to this line is of time, t. The average velocity of the object from .The slope of any line that is perpendicular to As this line is 1 - 3 seconds to t2 - 6 seconds is AL EXERCISE SET 1.5 Practice Exercises In Exercises 1-4, write an equation for line L in point-slope form and slope-intercept form. 1. 3. (3, 4) 1 -2 L is parallel to y = -2x. L is perpendicular to y = 2x. L is perpendicular to y = -2x. L is parallel to y = 2x. 225