First slide

Equation of line in Straight lines

Question

The slopes of the line which passes through the origin, and the mid-point of the line segment joining the points. $P (3, - 4)$ and $Q (- 5, - 2)$ is

Easy

A

3
B

-3
C

-1
D

1

Solution

Coordinate of the mid-point of the line segment joining P and Q are
$(\frac{3 - 5}{2}, \frac{- 4 - 2}{2}) = (- 1, - 3)$ so slope of the required line is
$\frac{0 - (- 3)}{0 - (- 1)} = 3$

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