Rules for deriving Equation of Straight line

[leopragi]

After experimenting Equation of straight line, I have come to a conclusion that, If I am going to find y given x then,


- I have to take coordinates that provide me change in y as positive.
- Rate of change = change in y / change in x but no vice versa.
- Intercept must by y not x.


If there is any change or wrong assumption then please inform me. Thanks in advance.

 

[stapel]

After experimenting Equation of straight line, I have come to a conclusion that, If I am going to find y given x then,

- I have to take coordinates that provide me change in y as positive.

What do you mean by "change in y"? If you're trying to "find y, given x", what "changing" is going on? Aren't you just evaluating to find a plot point?

- Rate of change = change in y / change in x but no vice versa.

If you are referring to the value of the slope m in a straight-line equation "y = mx + b", then you are correct.

- Intercept must by y not x.

I'm sorry, but I can't guess what this might be intended to mean...?

 

[eman7]

I'm sorry, but I can't guess what this might be intended to mean...?

I think it means how in the formula y=mx+b the b is always the y intercept.

 

[stapel]

I think it means how in the formula y=mx+b the b is always the y intercept.

Oh. Then, yes, the "b" in "y = mx + b" is always the y-intercept value.