Use the given conditions to write an equation for the line in point-slope form and general form. passing through (7 , 9 )and parallel to the line whose equation is 7 x - 5 y -9= 0

When the given line is in standard form or general form (as here), the desired line can be found by replacing the constant by zero, and then translating the line to the given point.

The starting point for your solution can be
  7(x-7) - 5(y-9) = 0

In general form, this is
  7x - 5y - 4 = 0

In point-slope form, this is
  y - 9 = (7/5)(x - 7)