Question

line f has a slope of \\(\frac{2}{7}\\). line g has a slope of \\(\frac{2}{7}\\). are line f and line g parallel or perpendicular? \
parallel \
perpendicular \
neither

Explanation:

Step1: Recall slope rules for lines

For two lines in a plane, if their slopes are equal, the lines are parallel. If the product of their slopes is \(-1\), the lines are perpendicular.

Step2: Compare slopes of line f and g

Slope of line \( f \) is \( \frac{2}{7} \), slope of line \( g \) is \( \frac{2}{7} \). Since \( \frac{2}{7}=\frac{2}{7} \) (slopes are equal), and \( \frac{2}{7}\times\frac{2}{7}=\frac{4}{49}
eq - 1 \).

Answer:

parallel