The slope of a line that makes intercepts of | vedclass

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(A) Let the intercepts on the $x$-axis and $y$-axis be $a$ and $a$ respectively.The equation of the line in intercept form is $\frac{x}{a} + \frac{y}{

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$-1$

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(A) Let the intercepts on the $x$-axis and $y$-axis be $a$ and $a$ respectively.The equation of the line in intercept form is $\frac{x}{a} + \frac{y}{a} = 1$.This simplifies to $x + y = a$,or $x + y - a = 0$.The slope $m$ of a line $Ax + By + C = 0$ is given by $m = -\frac{A}{B}$.Here,$A = 1$ and $B = 1$,so $m = -\frac{1}{1} = -1$.Alternatively,if the line makes equal intercepts on the axes,it makes an angle of $135^{\circ}$ with the positive $x$-axis,so the slope is $	an(135^{\circ}) = -1$.

The slope of a line that makes intercepts of equal length on the axes is:

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