Find the equation of a straight line passing through ( - 5 , 6 ) and cutting off equal intercepts on the…

Find the equation of a straight line passing through (-5,6) and cutting off equal intercepts on the co-ordinate axes.
  1. 6 x-5 y=30
  2. x-y=-11
  3. x+y=11
  4. x+y=1

Solution

Any line which cuts equal intercept is of the form x+y=k

Since this line passes through -5,6, it will satisfy the equation of the line,

-5+6=k

k=1

Hence, the equation of line is x+y=1.

Asked in: AP EAMCET 2021 (20 Aug Shift 1)

Practice more Straight Lines questions on Aicharya