The equation of line L is y=5x+1

Consider the complete question is "The equation of the line is y=5x+1 and the equation of line is 2y-10x+3=0. How can you show that these two lines are parallel?"

Given:

Equation of is .

Equation of is .

To show:

The these line as parallel.

Solution:

We have,

       ...(i)

     ...(ii)

Equation (ii) can be written as

          ...(iii)

Slope intercept form of a line is

         ...(iv)

where, m is slope and b is y-intercept.

On comparing (i) with (iv), we get slope of line .

On comparing (iii) with (iv), we get slope of line .

Since, , therefore, lines and and parallel because slope of two parallel lines are always equal.

Hence proved.

-1/2 +2

step-by-step explanation: