Question

Slope of a line which cuts intercepts of equal lengths on the axes is
A)-1
(B) 0
(C) 2
​

Answer 1

-1

Step-by-step explanation:

As the line cut equal intercept

Then eq becomes

X/a+y/a=1(intercept form)

X+y=a

And slope of this equation is - 1

Thank you

Answer 2

So, Slope of line cutting intercepts of equal length on axis is $-1$

Step-by-step explanation:

Given,

A line which cuts intercepts of equal lengths on the axis.

Equation of a straight line in intercept form is $\frac{x}{a}+\frac{y}{b}=1$  where $a$ and $b$ are $x$- intercept and $y$-intercept respectively.

Now,

Intercepts are of equal length.

So, $a=b$

Putting these values in equation,

we get  $\frac{x}{a}+\frac{y}{a}=1$

⇒$x+y=a$

⇒$y=-x+a$

Comparing it with general equation of line $y=mx+c$  (where $m$ is slope of line )

We get $m=-1$

Thus, Slope of line cutting intercepts of equal length on axis is $-1$