What is an equation of the line that passes through the point (-6,-4) and is parallel to the line 3y=2x-6

y  =  x

Explanation:

Given parameters:

  Coordinates  = (-6, -4)

   Equation of a the line; 3y = 2x - 6

Unknown:

Equation of the line parallel to this line  = ?

Solution:

The equation of any straight line is expressed as;

              y  = mx  + c

y and x are the coordinate

 m is the slope  

c is the intercept of the y - axis

Now from the equation, let us find the slope;

   3y = 2x - 6

     y  = -

    y  =   - 2

The slope is  

Parallel lines are lines that never meets. Therefore they have the same slope;

  the slope of the new line is  

Now,

  for the new line, we need to find the intercept;

        since y = mx + c,

     y  = -4 and x = -6;

           -4 =   x (-6) + c

          - 4  = -4 + c

           c= 0

The equation of the new line is;

            y  =  x

because the two particles have an equal charge, the charges will cancel out and give the atom an overall charge of 0. so, if at atom has 35 protons in the nucleus, we could expect it to have 35 electrons orbiting that nucleus.