well i dont know what the line equation is but you take its slope value and you make your y-intersept 5
line equation y=-3/4x+2
perpeneicular lines have slopes that multiply to get -1
for y=-3/4x+2
slope is -3/4
so if the other slope is ? then
-3/4 * ?=-1
?=4/3
y=mx+b, m=slope and b=y-intercept
we want slope o 4/3 and y intercept of 5
[tex]y=\frac{4}{3}x+5[/tex] is the equation