Question

Find the slope of the line which passes through the origin and the midpoint of the line segment joining the points $(0,-4)$ and $(8,0)$

• A. $-\frac{1}{2}$
• B. $-\frac{1}{4}$
• C. $-\frac{1}{3}$
• D. None of these

Answer 1

The correct option is A $-\frac{1}{2}$

Consider the given points.

$(0,-4)$ and $(8,0)$

Mid-point $=(\frac{0+8}{2},\frac{-4+0}{2})$

$=(4,-2)$

So, the slope of the line which is passes through the origin and the above mid-point will be

$=\frac{-2-0}{4-0}$

$=\frac{-2}{4}$

$=-\frac{1}{2}$

Hence, this is the answer.