Question

The straight line passing through the points (-1,1), (0,0) and (1,-1) has the equation
A 2x+ y= -1
B x+y = 0
C y = 2x
D 2+3y=7x​

Answer 1

Answer:

x+y =0

Step-by-step explanation:

We have to  check which straight line given in options, passes through the points (0,0),(−1,1) and (1,−1).

Any point lying on the line satisfies its equation.

Let's take option A,2−x=3y

For point (0,0), LHS =2−0=2, RHS =3(0)=0

LHS = RHS

Hence, the line 2−x=3y does not passes through (0,0). So, no need to check whether other points lies on the line or not.

Option D,x+y=0

For point (0,0), LHS =0+0=0= RHS

For point (−1,1), LHS =−1+1=0= RHS

For point (1,−1), LHS =−1−1=0= RHS

Hence, the line x+y=0 passes through all the points (0,0),(−1,1) and (1,−1)