Question

write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b
(4,9); 7x+y=4

Answer 1

y = 1/7x +b
9 = 1/7(4) +b
b = 59/7

y = 1/7x +59/7

Answer 2

the slope of the line 7x+y=4 is -7. so the slope of the perpendicular line will be 1/7.(as -7*(1/7)=-1).
so the line be y=x/7+c
line passes through (4,9)
9=4/7+c=>c=59/7
so the line is y=x/7+59/7