Question

Which of the following is parallel to 8x+3y=1?

Answer 1

Answer:

4.16x+6y=1

Step-by-step explanation:

The given equation of the line is:

      8x + 3y  = 1

From this line, we need to re-arrange and write in the form of the equation of  a straight line.

        The equation of a straight line is given as:

         y  = mx + c

  8x + 3y  = 1

         3y = -8x + 1

          y  = $\frac{-8x}{3}$  + $\frac{1}{3}$  

 The slope of the line is $\frac{-8}{3}$

  Any line from the given choices that will be parallel to the is must have the same slope as it is.

That line is 16x + 6y  = 1

                         6y  = -16x + 1

                            y = $\frac{-16x}{6}$  + $\frac{1}{6}$  

                           y = $\frac{-8x}{3}$  +  $\frac{1}{6}$