What is the equation of the line that passes through the points (4;-1) and is perpendicular to the line y= 2/3x + 5? Explain process step by step

y = mx + c Step 1: Finding m $$ m=-\frac{1}{m\:for\:perpendicular\:line}=-\frac{1}{\frac{2}{3}}=-\frac{3}{2} $$ Step 2: Finding c $$ y=mx+c $$ $$ c=y-mx=-1-\left(-\frac{3}{2}\cdot4\right)=5 $$ Step 3: Write equation $$ y=-\frac{3}{2}x+5 $$