Question 1160833
The line perpendicular to y=4x will contain that point
that perpendicular line is y=-1/4 * x, the negative reciprocal slope
it goes through (1, 2)
point slope formula y-y1=m(x-x1), m=slope, (x1, y1)= point.
y-2=(-1/4)(x-1)
y=(-1/4x)+9/4

find where the two lines intersect
4x=-(1/4)x+9/4
(17/4)x=9/4
x=9/17

first equation y=36/17 when x=9/17
second equation, y=-9/68+153/68=144/68=36/17, if divide top and bottom by 4
((9/17), (36/17))

{{{graph(300,300,-5,5,-5,5,4x,(-1/4)x+(9/4))}}}