Answer:
Option 1: [tex]y-6=-4(x+2)[/tex]
Step-by-step explanation:
Find the slope of the perpendicular line by finding the negative reciprocal of the original slope. (Negative reciprocal = flip upside down and add a negative). So we get -4 for the perpendicular slope.
Next, we know the point (-2,6) is on the line, so we can get x=-2 and y=6.
Plug this into point-slope form: [tex]y_{1}-y_{2}=m(x_{1}=x_{2})[/tex]
[tex]y_{1} - (6)=-4(x_{1}-(-2))[/tex]
[tex]y-6=-4(x+2)[/tex]
