SSAT Math Question 293: Answer and Explanation

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Question: 293

7. If two points (–3, 7) and (2, t) are on a line that is perpendicular to the line given by the equation y = 3x + 2, what is the value of t?

  • A. -
  • B. -
  • C.
  • D.

Correct Answer: C

Explanation:

The answer is C

The slope of a line perpendicular to another line is the negative reciprocal of the other line's slope. Slope is represented by m in the equation y = mx + b. In this case, the slope of the given line is 3. Thus, the slope of perpendicular line is -. Slope is determined by or . Set up a new equation: . Combine like terms in the denominator and cross multiply: 21 - 3t = 5. Subtract 21 from both sides and divide both sides by -3: t = .

If you can sketch out t

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