5
algebra

Find the slope of the line shown in the graph passing through (0,2)(0, 2) and (3,0)(3, 0).

A

23-\frac{2}{3}

B

32-\frac{3}{2}

C

23\frac{2}{3}

D

32\frac{3}{2}

Correct Answer: A

Choice A is the correct answer. Calculate rise over run from the graph.

  1. Points: (0,2)(0, 2) and (3,0)(3, 0).
  2. Rise: From y=2y=2 down to y=0y=0 is a change of 2-2.
  3. Run: From x=0x=0 right to x=3x=3 is a change of +3+3.
  4. Slope: RiseRun=23=23\frac{\text{Rise}}{\text{Run}} = \frac{-2}{3} = -\frac{2}{3}.

💡 Strategic Tip: If the line goes down from left to right, the slope MUST be negative.

Choice B is incorrect because it flips rise and run. Choice C is incorrect because it misses the negative sign. Choice D is incorrect because it flips rise/run and misses the sign.