Question

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

Answer 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.

Answer 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