sanna14 wrote:
For the following question, select all the answer choices that apply.
What are the possible values for the slope of a line passing through point (–1, 1) and passing in between points (1, 3) and (2, 3) but not containing either of them?
(A) \(\frac{1}{2}\)
(B) \(\frac{3}{5}\)
(C) \(\frac{3}{4}\)
Answer:
The key concept here is that the line must pass BETWEEN points (1, 3) and (2, 3)
So, if we find the slope from (–1, 1) to (1, 3) and the slope from (–1, 1) to (2, 3), then the slope of the line must be BETWEEN the two slopes we calculated.
Slope from (–1, 1) to (1, 3) = \(\frac{3 - 1}{1 - (-1)}=\frac{2}{2}=1\)
Slope from (–1, 1) to (2, 3) = \(\frac{3 - 1}{2 - (-1)}=\frac{2}{3}=0.6666666...\)
So, the correct answers will have values that are BETWEEN 0.6666666... and 1.
(A) 1/2 = 0.5
0.5 is not BETWEEN 0.6666666... and 1.
Eliminate A(B) 3/5 = 0.6
0.6 is not BETWEEN 0.6666666... and 1.
Eliminate B(C) 3/4 = 0.75
0.75 IS BETWEEN 0.6666666... and 1.
Keep CAnswer: C
Cheers,
Brent