Question

A line u passes through (6, 1) and (8, p). A line v passes through (2, -3) and
(10,-6). The lines u and v are parallel. Find the value of p.

Answer 1

Answer:

The value of p is $\frac{1}{4}$

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 $=\dfrac{p-1}{8-6}$

Slope of line v $=\dfrac{-6-(-3)}{10-2}$

Use the condition of parallel lines.

$\dfrac{p-1}{8-6}=\dfrac{-6-(-3)}{10-2}\\\dfrac{p-1}{2}=\dfrac{-3}{8}\\p-1=\dfrac{-3}{4}\\p=\dfrac{-3}{4}+1\\p=\dfrac{1}{4}$