Slope of a line which cuts off intercepts of equal lengths on the axes is
The equation of line in intercept form is:
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where a and b are the intercepts on the axis.
Given that: a = b
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⇒ x + y = a
⇒ y = - x + a
⇒ y = (-1)x + a
Since, the above equation is in y = mx + b form
So, the slope of the line is – 1.
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