Question

Determine which of the lines, if any, are parallel. Explain.

Line a passes through (-1, 3) and (1, 9).
Line b passes through (-2, 12) and (-1, 14).
Line c passes through (3, 8) and (6, 10).
____;The slopes are ______

Answer 1

None of the lines; The slopes are neither equal nor negative reciprocals

Explanation:

Finding the slopes of the lines,

`m_a=(9-3)/(1-(-1))=3 \\ \\ m_b=(14-12)/(-1-(-2))=2 \\ \\ m_c=(10-8)/(6-3)=(2)/(3)`