Consider the given equation.
y=4x−5
Recall that have the same . Because of this, we know that
all lines that are parallel to the given one will have a slope of
4. We can write a
general equation in for all the lines that are parallel to the given line.
y=4x+b
Now we have to find the value of the . To do so, we will substitute the given point
(-1,5) in the above equation, and solve for
b.
Now that we know the value of the
y-intercept, we write the equation of the parallel line to
y=4x−5 through
(-1,5).
y=4x+9