61.8k views
3 votes


Determine if JK and LM are parallel, perpendicular, or neither.
Part A: J (-6, 11); K (2, -1)
Slope of JK:
Part B: L (-4, 8); M (-1, 10)

Slope of LM:
I
Type your answer as a fraction
Type your answer as a fraction

User Bdargan
by
7.9k points

1 Answer

3 votes
Part A: To find the slope of JK, we can use the formula: slope = (change in y) / (change in x).

Slope of JK = (-1 - 11) / (2 - (-6)) = -12 / 8 = -3/2.

Part B: To find the slope of LM, we can use the same formula.

Slope of LM = (10 - 8) / (-1 - (-4)) = 2 / 3 = 2/3.

Therefore, the slope of JK is -3/2 and the slope of LM is 2/3. Since the slopes are not equal (not the same fraction or negative reciprocal), JK and LM are neither parallel nor perpendicular.
User Source Matters
by
7.8k points