# Choose the correct answer from the given four options. Slope of a line which cuts off intercepts of equal lengths on the axes is

$\begin {array} {1 1} (A)\;-1 & \quad (B)\;-0 \\ (C)\;2 & \quad (D)\;\sqrt 3 \end {array}$

Toolbox:
• Equation of a line in the intercept form is $\large\frac{x}{a}$$+\large\frac{y}{b}$$=1$.
Step 1 :
It is given that the line makes equal intercepts on the coordinate axes.
Hence $a=b$
$\therefore \large\frac{x}{a}$$+\large\frac{y}{a}$$=1$
$\Rightarrow x+y=a$
Slope of the above line is -1
Hence A is the correct option.