Question 1158923
the slope is change in y/change in x or 12/-8 or -3/2
point slope formula y-y1=m(x-x1), m slope (x1, y1) a point
y-2=(-3/2)(x-1)
y=-(3/2)x+7/2

a line parallel to that has the same slope, so y=-(3/2)x would work.

perpendicular requires a negative reciprocal slope, and that would be 2/3, flipping over the fraction and changing the sign
y-2=(2/3)(x-1)
y=(2/3)x+4/3

{{{graph(300,300,-10,10,-10,10,(-3/2)x+(7/2),-(3/2)x,(2/3)x+(4/3))}}}