Question

The slope of the line given as: $9y-\frac{x}{3}-27=0$ is

• A. $27$
• B. $\frac{1}{27}$
• C. $\frac{-1}{27}$
• D. 3

Answer 1

The correct option is B $\frac{1}{27}$

Given: $9y-\frac{x}{3}-27=0$
Convert this to the slope intercept form of a line which is $y=mx+b$ where 'm' is the slope and 'b' is the $y$-intercept of the line.
Simplify the equation $9y-\frac{x}{3}-27=0$
$9y=\frac{x}{3}+27$

$y=\frac{x}{3\times 9}+\frac{27}{9}$

$y=\frac{x}{27}+3$

On comparing the above equation with $y=mx+b$, we get:
$m=\frac{1}{27}$ and $y$-intercept $=3$.
Option (b) is correct.