Question

If the slope of the line joining the points A(6,0) and B(p,-1) is $\frac{1}{8}$, then p = ______________.

• A. -1
• B. -2
• C. 2
• D. 1

Answer 1

The correct option is B -2

Given points are A(6,0) and B(p,-1).
$\because$ Slope of the line joining the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $\frac{y_2-y_1}{x_2-x_1}$.
$\therefore$ Slope of line AB = $\frac{-1-0}{p-6}$
= $\frac{-1}{p-6}$
Also given that the slope of the line is $\frac{1}{8}$.
$\therefore$$\frac{-1}{p-6}$ =$\frac{1}{8}$

$\therefore$p = -2