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Ivenika [448]
3 years ago
13

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

Geography
1 answer:
mart [117]3 years ago
8 0

Answer:

y  =  \frac{2}{3}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  = \frac{2}{3} x - \frac{6}{3}

    y  =  \frac{2}{3} x - 2

The slope is  \frac{2}{3}

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

  the slope of the new line is  \frac{2}{3}

Now,

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

        since y = mx + c,

     y  = -4 and x = -6;

           -4 =  \frac{2}{3} x (-6) + c

          - 4  = -4 + c

           c= 0

The equation of the new line is;

            y  =  \frac{2}{3}x

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