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Two points (4, p) and (0, q) lie on a straight line having a slope of 3/4. The value of (p - q) is

  • A.-3
  • B.0
  • C.3
  • D.4

Answer: C

The value of (p - q) is 3.

The slope through (4, p) and (0, q) is the change in y over the change in x:

\[ \begin{aligned} \frac{p - q}{4 - 0} &= \frac{3}{4} \\ p - q &= 3 \end{aligned} \]

-3 comes from taking the points in the opposite order for y but not for x. 0 would mean a horizontal line, and 4 confuses the run with the rise.

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