Question

Find the equation of the straight line passing through (-2. 4) and making non-zero intercepts
whose sum is zero. (May-2017)​

Answer 1

Answer:

6

Step-by-step explanation:

Intercept form of the straight line is

a

x

+

b

y

=1

Now, sum of the intercepts is zero,

a+b=0

b=−a

So the equation of the line is,

a

x

−

a

y

=1

x−y=a ........ (1)

This straight line passes through the point (−2,4)

So, from equation (1),

x−y=aThis straight line passes through the point (−2,4)

So, from equation (1),

x−y=a

−2−4=a

a=−6

Therefore, the straight line is x−y=−6