Question

For a graph of the linear equation ax+by+c=0 to pass through origin which of the three a,b and c is necessarily zero?

Answer 1

Given :

Linear equation or equation of straight line i.e. ax+by+c=0

To Find :

For the straight line to pass from origin which has to be zero out of

a ,b ,c should be necessarily zero .

Solution :

•Given equation of straight line is

ax+by+c=0

clearly , it is genral form of straight line

• First, we will transform it into slope intercept form

ax+by+c=0

by = -ax - c

y = (-a/b)x + (-c/b)

•Now , it is of the form y = mx + k

where m is slope of line

& k is length of Y intercept

•By comparing we get ,

k = -c/b

or length of Y intercept is -c/b

•For the given line to pass from origin the length of intercept should be zero

=> -c/b = 0

=> c = 0

•Hence , for the line ax+by+c=0 to pass from origin c must be zero

Answer 2

Answer:

Step-by-step explanation:

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