In Exercises 57–64, write the slope-intercept form of the equation of a function f whose graph satisfies the given conditions. 57. The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6. 58. The graph of f passes through (-2, 6) and is perpendicular to the line whose equation is x = -4. 59. The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y-intercept of -4. 60. The graph of f passes through (-5, 6) and is perpendicular to the line that has an x-intercept of 3 and a y-intercept of -9. 61. The graph of f is perpendicular to the line whose equation is 3x – 2y = 4 and has the same y-intercept as this line. 62. The graph of f is perpendicular to the line whose equation is 4x – y = 6 and has the same y-intercept as this line. 63. The graph of f is the graph of g(x) = 4x – 3 shifted down 2 units. 64. The graph of f is the graph of g(x) = 2x – 5 shifted up 3 units.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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In Exercises 57–64, write the slope-intercept form of the equation
of a function f whose graph satisfies the given conditions.
57. The graph of f passes through (-1, 5) and is perpendicular to
the line whose equation is x = 6.
58. The graph of f passes through (-2, 6) and is perpendicular to
the line whose equation is x = -4.
59. The graph of f passes through (-6, 4) and is perpendicular
to the line that has an x-intercept of 2 and a y-intercept
of -4.
60. The graph of f passes through (-5, 6) and is perpendicular
to the line that has an x-intercept of 3 and a y-intercept
of -9.
61. The graph of f is perpendicular to the line whose equation
is 3x – 2y = 4 and has the same y-intercept as this line.
62. The graph of f is perpendicular to the line whose equation
is 4x – y = 6 and has the same y-intercept as this line.
63. The graph of f is the graph of g(x) = 4x – 3 shifted down
2 units.
64. The graph of f is the graph of g(x) = 2x – 5 shifted up
3 units.
Transcribed Image Text:In Exercises 57–64, write the slope-intercept form of the equation of a function f whose graph satisfies the given conditions. 57. The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6. 58. The graph of f passes through (-2, 6) and is perpendicular to the line whose equation is x = -4. 59. The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y-intercept of -4. 60. The graph of f passes through (-5, 6) and is perpendicular to the line that has an x-intercept of 3 and a y-intercept of -9. 61. The graph of f is perpendicular to the line whose equation is 3x – 2y = 4 and has the same y-intercept as this line. 62. The graph of f is perpendicular to the line whose equation is 4x – y = 6 and has the same y-intercept as this line. 63. The graph of f is the graph of g(x) = 4x – 3 shifted down 2 units. 64. The graph of f is the graph of g(x) = 2x – 5 shifted up 3 units.
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