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The line y = kx + 4, where k is a constant, is graphed in the xy - plane. If the line contains the point (c, d), where c ≠ 0 and d ≠ 0, what is the slope of the line in terms of c and d ?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The line y = kx + 4, where k is a constant, is graphed in the xy - pla...
Choice A is correct. The linear equation y = kx + 4 is in slope-intercept form, and so the slope of the line is k. Since the line contains the point (c, d), the coordinates of this point satisfy the equation y = kx + 4: d = kc + 4. Solving this equation for the slope, k, gives k = 
Choices B, C, and D are incorrect and may be the result of errors in substituting the coordinates of (c, d) in y = kx + 4 or of errors in solving for k in the resulting equation.
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The line y = kx + 4, where k is a constant, is graphed in the xy - plane. If the line contains the point (c, d), where c ≠ 0 and d ≠ 0, what is the slope of the line in terms of c and d ?a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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