Question 1157269
x-4y=16 can be written as 4y+16=x or 4y=x-16 or y=(1/4)x-4
the slope of that line is 1/4
perpendicular lines have negative reciprocal slopes when multiplied together, so the line wanted has slope -4.
it goes through (4, -3)
point slope formula y-y1=m(x-x1), m slope (x1, y1) point
y+3=-4(x-4)
y=-4x+13
{{{graph(300,300,-10,10,-10,10,(x/4)-4,-4x+13)}}}