Question

find the eqn of a straight line passing through -8,4 and making eql i9ntercepts on the coordinate axes

Answer 1

Answer:

x + y = -4

Step-by-step explanation:

Let the required equation be 'x/a + y/b = 1'  

Since, intercepts are equal, a = b.

Equation is x/a + y/a = 1   ⇒ x + y = a

Given that the point (-8, 4) lies on the line so it must satisfy the equation for x = -8  and y = 4.

∴ -8 + 4 = a    ⇒ -4 = a

Hence, in general

 ⇒ x + y = a  = -4

 ⇒ x + y = -4