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AlgebraHardInterpolating between two points

Algebra practice question

A line passes through the points (−2, 9) and (4, −3). What is the y-coordinate of the point on the line where x = 1?

  1. A. 3Correct
  2. B. 0
  3. C. 5
  4. D. −1

Answer: A. 3

The slope is (−3 − 9)/(4 − (−2)) = −2. From (−2, 9), moving 3 units right: y = 9 − 6 = 3.

Why the other answers are wrong

B. 0
0 would put the x-intercept at 1; the line crosses y = 0 at x = 2.5.
C. 5
5 uses a slope of −4/3; the rise is −12 over a run of 6, slope −2.
D. −1
−1 overshoots by one slope-step; from x = −2 to x = 1 is 3 steps, not 5.

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