Question

A line has the equation 3x-4y=1 choose the equation of a line that is parallel to the given line

Answer 1

Step-by-step explanation:

The equation of the given line is 3x - 4y = 1

A line parallel to the given line will have slope that is the same as this one.

The equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

   m is the slope

    c is the y-intercept

  Now, we write the given line in the slope - intercept form;

       3x - 4y  = 1

            -4y  = -3x + 1

  Divide through by -4

       $\frac{-4y}{-4}$   = $\frac{-3x}{-4}$  + $\frac{1}{-4}$  

          y  = $\frac{3}{4} x$ - $\frac{1}{4}$  

The slope of this line is $\frac{3}{4}$  

Any line with the slope  $\frac{3}{4}$  will be parallel to the given line.