The line y = mx + c has a slope of m.
Parallel line:
A parallel line will also have a slope of m, and should be of the form
y = mx + k
Because the line passes through the point (a,b), therefore
ma + k = b
k = b - ma
The equation of a parallel line is
y = mx + b - ma
= m(x-a) + b
Perpendicular line:
A perpendicular line will have a slope of -1/m, because the product of slopes should be -1.
The equation for a perpendicular line is of the form
y = -(1/m)x + k
Because the line passes through (a,b), therefore
-(1/m)a + k = b
k = b + a/m
The equation for a perpendicular line is
y = -(x/m) + b + a/m
= -(1/m)(x-a) + b
Answer:
Parallel line:

Perpendicular line:
Answer:
Step-by-step explanation:

Answer:
The remainder is 64
Step-by-step explanation:
Consider the function 
Use synthetic division to divide by x+9
x+9=0, x=-9
divide the given f(x) by -9 using synthetic division
-9 1 3 -51 91
0 -9 54 -27
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1 -6 3 64
The remainder is 64