Find an equation for the line parallel to

Question

Find an equation for the line parallel to f(p)=−p+4 that goes through the point (−6,−8). Write your answer in the form f(p)=mp+b.

Answer 1

In f(p) = -p + 4, the slope of the line is -1.

The slope of the parallel line must be -1

Therefor the equation must be

f(p) = -p + b

Substituting (-6, -8)

-8 = -(-6) + b

-8 = 6 + b

-14 = b

The equation of the parallel line is

f(p) = -p - 14