The perpendicular distance of a line from the origin is 5 units and its slope is -1. Find the equation of the line.

Explanation

Equation of a line in slope-intercept form is,

`y=mx+c`

Given, the slope `=−1`

`implies y=−x+c`

`implies x+y−c=0`

Its perpendicular distance from origin `=5` units.

We know that the perpendicular distance of point ` (x_1,y_1)` from line `ax+by+c=0` is,

`=|frac{ax_1+by_1+c}{sqrt{a^2+b^2}}|`

...