Question

line t has a slope of \\( \frac { - 8 } { 3 } \\). line u has a slope of \\( \frac { - 3 } { 8 } \\). are line t and line u parallel or perpendicular? parallel perpendicular neither

Explanation:

Step1: Check parallel condition

Two lines are parallel if their slopes are equal.
Slope of line \(t\) is \(\frac{-8}{3}\), slope of line \(u\) is \(\frac{-3}{8}\). Since \(\frac{-8}{3}
eq\frac{-3}{8}\), they are not parallel.

Step2: Check perpendicular condition

Two lines are perpendicular if the product of their slopes is \(- 1\).
Calculate the product of slopes: \(\frac{-8}{3}\times\frac{-3}{8}=\frac{(-8)\times(-3)}{3\times8}=\frac{24}{24} = 1
eq - 1\)

Answer:

neither