write the equation of the line that is parallel to the line y = -1/4x -3 through the point (4,4)
answers are

we are given equation of line as
[tex] y=-\frac{1}{4} x-3 [/tex]
now, we can compare it with
[tex] y=mx+b [/tex]
and then we can find slope
[tex] m=-\frac{1}{4} [/tex]
we know that slopes of two parallel lines are always equal
so, slope of our line will also be
[tex] m=-\frac{1}{4} [/tex]
so, we have only one option that has this slope
so,
option-B........Answer