Question

What is the slope of the line that cuts intercepts of equal lengths on positive sides of the axes?

Answer 1

$\huge\boxed{\underline{\mathcal{\red{A} \green{N } \pink{S } \orange{W } \blue{E } \pink{R }}}}$

Equation of a straight line in intercept form is x/a +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 x/a +y/a =1

=> x + y = 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.

Hope it helps!!!

Answer 2

Answer:

interdependence. .............