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

2 thoughts on “Find the equation of a straight line passing through (-8,4) and making equal intercepts on the coordinate axes​”

1. Αηѕωєя :

   Equation of a straight lines passing through (-8,4).

   making equal intercept on the co-ordinate axis.

   As we know that,

   Let we assume that x-intercept & y-intercept = t

   equation of line,

   ⇒ x/a + y/b = 1.

   We can write as,

   ⇒ x/t + y/t = 1.

   ⇒ -8/t + 4/t = 1.

   ⇒ -8 + 4 = t.

   ⇒ -4 = t.

   Put the value of t = -4 in equation, we get.

   ⇒ x/-4 + y/-4 = 1.

   ⇒ x + y = -4.

   ⇒ x + y + 4 = 0.

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2. Answer:

   Equation of straight line with equal intercept are given by x+y=a

   Now since it passes through (2,4), so a=4+2=6

   Hence the line is x+y=6

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