respected sir,

  what is the parametric form of straight line?

  - yours sincerely

 ADRIVIT MUKHERJEE

  INDIA  KOLKATA

 SPHS

Hi Adrivit!

The parametric form of a straight line is given as x = x₁ + at, y = y₁ + bt, where as (x₁, y₁) is a point on the line, a and b are called direction cosines, and t is the parameter.

The equation of the line can also be written as

For example, consider the line

3x + 2y = 16  … (1)

This is same as to write

2y = 16 - 3x  … (2)

The point (4, 2) lies on this line.

Now, equation (2) can be written as

2(y - 2) = -3(x - 4)

Thus, x = 2t + 4, y = 2 - 3t is the parametric form of the equation of the line 3x + 2y = 16, where t is an arbitrary real number.

 

Hope you got the answer.

 

Cheers!