True or false The y - intercept of the straight line with equation Ax + By + C = O is - CIB (B'O).

Question

True or False The y - intercept of the straight line with equation Ax + By + C = O is - CIB (B'O).

Answer 1

Ruben,

 

first lets think what the y intercept is. It is the value of y when x is 0.

 

So what we would need to do is substitute x=0 into the given equation and then solve for y.

 

Given:Ax+By + C = 0

A(0) +By +C = 0                        substitute in x=0

By + C = 0

By + C -C = 0 -C

By = -C

1/B *By = 1/B*(-C)

 

y = -C/B  to be valid, B cannot be zero

 

So I would say true, as long as your notation -CIB  is really -C/B and B is not zero