1
algebra

Calculate the slope of the line passing through (3,4)(-3, 4) and (2,1)(2, -1).

A

1-1

B

11

C

5-5

D

15-\frac{1}{5}

Correct Answer: A

Choice A is the correct answer. Be careful with negative signs in the formula.

  1. Formula: m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}
  2. Substitute: m=142(3)m = \frac{-1 - 4}{2 - (-3)}
  3. Simplify: m=52+3=55=1m = \frac{-5}{2 + 3} = \frac{-5}{5} = -1

💡 Strategic Tip:2(3)2 - (-3) becomes 2+32 + 3. Double negatives are a common trap!

Choice B is incorrect because it misses the negative sign. Choice C is incorrect because it forgets to divide by the run. Choice D is incorrect because it flips rise and run.