9. Write an equation in point-slope form for the line through the given point with the given slope. (8, -3); m = -1/4

y - 8 =-1/4(x+3)

Y-3=-1/4(x+8)

Y-3=-1/4(x-8)

Y+3=-1/4(x-8)

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c