20.What is the equation of the line that is perpendicular to y=-4x+1 and passes through the point (2,2)

To find the equation of the line that is perpendicular to and passes through the point , we need to follow these steps:1. Find the slope of the given line.2. Find the slope of the perpendicular line.3. Use the point-slope form to find the equation of the perpendicular line.Step 1: Find the slope of the given line.The given line is in the form , where is the slope. Therefore, the slope of the given line is .Step 2: Find the slope of the perpendicular line.The slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line. Therefore, the slope of the perpendicular line is .Step 3: Use the point-slope form to find the equation of the perpendicular line.The point-slope form of a line is given by , where is a point on the line and is the slope. Substituting the values, we get: Simplifying the equation, we get: Therefore, the equation of the line that is perpendicular to and passes through the point is .