What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8) ?

Answer 1

The slope of the line given by the equation is -2

The slope of the perpendicular line is the negative reciprocal: 1/2

The equation of the perpendicular line is (1/2) = (y + 8)/(x - 2)

You can manipulate the equation into whatever form required.