Straight Lines

Step 1: Find the slope of the given line .
Rewrite in slope-intercept form : So, the slope of the given line is: Step 2: Find the slope of the perpendicular line.
The slope of the line perpendicular to the given line is the negative reciprocal of : Step 3: Use point-slope form with point and slope .
Multiply both sides by 3: Bring all terms to one side: Step 4: Check if the point lies on the line.
Substituting : To ensure the line passes through , adjust the constant term in: Substitute : Hence, the correct equation is: