Please show work. thank you

Question

The line passes through (-3,7) and is perpendicular to y=3x

Answer 1

y=3x where the slope is 3

the slope of the line perpendicular to this line will be the negative reciprocal of 3, or (-1/3)

using the point-slope form with slope (-1/3) and the point (-3,7)

y-y₁=m(x-x₁)

y-7=(-1/3)(x+3)

y-7=(-1/3)x-1

y=(-1/3)x-1+7

y=(-1/3)x+6