Answer:
The value of p is [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Condition for parallel lines,
The slope of the first line is equal to the slope of the second line.
Slope of line u [tex]=\dfrac{p-1}{8-6}[/tex]
Slope of line v [tex]=\dfrac{-6-(-3)}{10-2}[/tex]
Use the condition of parallel lines.
[tex]\dfrac{p-1}{8-6}=\dfrac{-6-(-3)}{10-2}\\\dfrac{p-1}{2}=\dfrac{-3}{8}\\p-1=\dfrac{-3}{4}\\p=\dfrac{-3}{4}+1\\p=\dfrac{1}{4}[/tex]
