write an equation of the line containing the given point and perpendicular to the given line. (0,5); 7x+2y=9

Question

anonymous · Answer

let 2x -7y=k
put (0,5)
k=-35
2x-7y+35=0

anonymous · Answer

that doesn't make sense. shouldn't it be 7x+2y??? not 2x-7y?

anonymous · Answer

its the rule..that product of slope of two perpendicular line is -1

anonymous · Answer

let x = 0 and y = 5
so,
7(0)+ 2(5) = 9
0 + 10 = 9
then product of slopes
-1 + 10 = 9
9=9

anonymous · Answer

the first line has slope -7/2 and the perpendicular line must have slope 2/7
thats why i written 2x-7y=k

anonymous · Answer

but the equation of the line needs to be in y= form. what would that be?

anonymous · Answer

2x-7y+35=0
7y=2x+35
y=2/7x+5