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The graph of the linear function f is shown in the xy-plane above. The slope of the graph of the linear function g is 4 times the slope of the graph of f. If the graph of g passes through the point (0, − 4), what is the value of g (9)?
  • a)
    5
  • b)
    9
  • c)
    14
  • d)
    18
Correct answer is option 'C'. Can you explain this answer?
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The graph of the linear function f is shown in the xy-plane above. The...
The slope of a line is rise/sun and can be calculated using the coordinates of any two points on the line. For example, the graph of f passes through the points (0, 3) and (2, 4), so the slope of the graph of f is  The slope of the graph of function g is 4 times the slope of the graph of f, so the slope of the graph of g is 4(1/2) = 2. Since the point (0, −4) is the 
y-intercept of g, g is defined as g(x) = 2x − 4. It follows that g(9) = 2(9) − 4 = 14.
Choice A is incorrect because if g(9) = 5, then the slope of the graph of function g is  which is not 4 times the slope of the graph of f. Choices B and D are also incorrect. The same procedures used to test choice A yields  for the slope of the graph of g for choices B and D, respectively. Neither of these slopes is 4 times the slope of the graph of f.
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The graph of the linear function f is shown in the xy-plane above. The...
The slope of a line is rise/sun and can be calculated using the coordinates of any two points on the line. For example, the graph of f passes through the points (0, 3) and (2, 4), so the slope of the graph of f is  The slope of the graph of function g is 4 times the slope of the graph of f, so the slope of the graph of g is 4(1/2) = 2. Since the point (0, −4) is the 
y-intercept of g, g is defined as g(x) = 2x − 4. It follows that g(9) = 2(9) − 4 = 14.
Choice A is incorrect because if g(9) = 5, then the slope of the graph of function g is  which is not 4 times the slope of the graph of f. Choices B and D are also incorrect. The same procedures used to test choice A yields  for the slope of the graph of g for choices B and D, respectively. Neither of these slopes is 4 times the slope of the graph of f.
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The graph of the linear function f is shown in the xy-plane above. The slope of the graph of the linear function g is 4 times the slope of the graph of f. If the graph of g passes through the point (0, − 4), what is the value of g (9)?a)5b)9c)14d)18Correct answer is option 'C'. Can you explain this answer?
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