You have to use point slope form for this equation and convert it to slope intercept form... the perpendicular slope will be the negative reciprocal of 1/6. So it will be -6. We have the point (-3,23) so we would have that as (x1,y1). So you can use point slope form. y-23=-6(x-(-3)). Remember to simplify the -(-3) part.
y-23=-6(x+3)
Use distributive property
y-23=-6x-18
Solve for y by adding 23 to each side giving you
y=-6x+5
So that’s your answer...