Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Here is the question. Pay attention to the words in boldface.
"In order to write the equation of the line passing through the point (-2, 2) that is parallel to the line y = 2x + 3 , the next step is to find the y-intercept of the perpendicular line. What is the y-intercept of the perpendicular line through point (-2, 2)?"
Is the question asking for the parallel line or the perpendicular line?
