Question

Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.

Answer 1

To make the perpendicular line, it is convenient to swap the x- and y-coefficients and negate one, then offset the x- and y- by the point value:
.. 2(x +2) +3(y -1) = 0

This equation can now be put into any desired form. Based on the given equation, it looks like you would like "standard form."
.. 2x +3y = -1