Is this statement true or false?

Question

The y-intercept of the straight line with equation Ax + By + C = 0 is -C/B (B ≠ 0).  

 

If you think the statement is true, then prove it. On the other hand, if you think the statement is false, then give an example that disproves the statement.

Answer 1

The equation of a straight line is y = mx + b

 

Ax + By + C = 0

 

Let's rewrite this equation in the form y = mx + b

 

By = -Ax - C

y = (-A/b)x - (C/B)

 

We know that b is the y-intercept in the equation of a straight line, therefore -C/B will be the y-intercept and the statement is true.

 

I hope it helps.

Answer 2

You will have your y intercept where x=0, so let's put 0 in for x, and see where that takes us:

 

• A(0) + By + C =0
• 0 + By + C = 0
• By = -C
• y = -C/B

 

Therefore this statement is true.