Answer:
y= 1/14 x +17/14
Step-by-step explanation:
Lines perpendicular to another line have an opposite reciprocal slope, meaning that the sign is changed, and the fraction is flipped. We are going to use point-slope form to solve.
[tex]y-y_{1} =m(x-x_{1} )\\y-1 =\frac{1}{14} (x+3 )\\y-1=\frac{1}{14}x+\frac{3}{14}\\y=\frac{1}{14}x+\frac{17}{14}[/tex]
