Respuesta :

Answer:

  y +3 = -5/6(x -12)

Step-by-step explanation:

You want an equation for a line through the point (12, -3) that is parallel to the line y = -5/6x -3.

Slope

The slope of the given line is the coefficient of x: -5/6. The slope of a parallel line will be the same.

Point-slope form

The point-slope form of the equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Then the equation for the line with slope -5/6 through point (12, -3) is ...

  y +3 = -5/6(x -12)