Question

write an equation in slope-intercept form for the line that is perpendicular to -2x-8y=16 and that passes through (4,5)

Answer 1

slope of line perpendicular to ax+by=c is b/a

given
-2x-8y=18
slope of perpendicular is -8/-2=4

y=4x+b
find B
(4,5)
x=4,y=5
5=4(5)+b
5=20+b
minus 20
-15=b

y=4x-15