Question

Find the equation of a straight line passing through (– 8, 4) and making equal intercepts on the coordinate axes

Answer 1

Let the x-intercept andy intercept “a”

The equation of a line is

`x/"a" + y/"a"` = 1

The line passes through the point (– 8, 4)

`(-8)/"a" + 4/"a"` = 1

`(-8 + 4)/"a"` = 1

– 4 = a

The equation of a line is

`x/(-4) + y/(-4)` = 1

Multiply by – 4

x + y = – 4

x + y + 4 = 0

The equation of the line is x + y + 4 = 0