Question 1040715
The line x-5y=3 may be written as 5y=x-3 or y= (1/5)x-(3/5), slope -intercept form.  The slope of the line perpendicular to this line is the negative reciprocal of the coefficient of x.  That is the negative reciprocal of (1/5).  To find that, flip the fraction and change the sign.  It is therefore -5.
point slope form of the line that goes through (4,-8) perpendicular to the line given  has slope -5
y-(-8)=-5(x-4)
y+8=5(x-4)  That is point-slope form
y=5x-20-8
y=5x-28  That is slope-intercept form.
Graph doesn't show x and y the same interval for each.
{{{graph(300,200,-20,20,-30,30,(x/5)-(3/5),5x-28)}}}