Write an equation of the line containing the given point and perpendicular to the given line. Express the answer in the form of y=mx+b

(3,4); 4x+y=5

Question

Write an equation of the line containing the given point and perpendicular to the given line. Express the answer in the form of y=mx+b 

(3,4); 4x+y=5

anonymous · Answer

4x+y=5 
can you tell me the slope of this line??

anonymous · Answer

I believe its 1 over 4

dumbcow · Answer

the slope of line is -4 ... 1/4 is slope of perpendicular line

now plug in point to get equation:
y = mx+ b

4 = (1/4)*3 + b

solve for "b"
b = 13/4

--> y = 1/4x + 13/4