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(D) The intercept form of a line is given by $\frac{x}{a} + \frac{y}{b} = 1$.Since the line makes equal intercepts on the axes,we have $a = b$.Substit

Vedclass · Accepted Answer

$x + y + 1 = 0$

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(D) The intercept form of a line is given by $\frac{x}{a} + \frac{y}{b} = 1$.Since the line makes equal intercepts on the axes,we have $a = b$.Substituting this into the equation,we get $\frac{x}{a} + \frac{y}{a} = 1$,which simplifies to $x + y = a$.Since the line passes through the point $(1, -2)$,we substitute these coordinates into the equation:$1 + (-2) = a \implies a = -1$.Substituting $a = -1$ back into the equation $x + y = a$,we get $x + y = -1$,or $x + y + 1 = 0$.

Find the equation of the line passing through the point $(1, -2)$ and making equal intercepts on the axes.

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