Question

Find the equation of a line which passes through the origin and it's slope is $-\frac{1}{Z}.$

• A. $y=\frac{1}{Z}x$
• B. $Zy=-x$
• C. $y=Zx$
• D. $x=Zy$

Answer 1

The correct option is B $Zy=-x$

Given , The line passes through origin i.e $(0,0).$
Slope of the line $=-\frac{1}{Z}$
As point and slope are given, we will use point slope form of a line.
The point slope form of a line is given as:
$y-y_1=m(x-x_1)$
where 'm' is the slope and $(x_1,y_1)$ is the point from which the line is passing.

Slope $=-\frac{1}{Z}$ and point $=(0,0)$

Equation of line: $y-0=-\frac{1}{Z}(x-0)$
$y=-\frac{1}{Z}x$
$Zy=-x$
Hence, the equation of line is $Zy=-x$
Option (b) is correct.