Write an equation of a line that passes through the points (0,5) and (45,-220)

We'll write the formula of the equation of the line that
is passing through 2 given points:

(x2 - x1)/(x - x1) = (y2
- y1)/(y - y1)

We'll identify x1 = 0, x2 = 45, y1 = 5 and
y2 = -220. We'll substitute them into the formula
above:

(45 - 0)/(x - 0) = (-220 - 5)/(y -
5)

45/x = -225/(y-5)

We'll
divide both sides by 45:

1/x =
-5/(y-5)

We'll cross multiply and we'll
get:

-5x = y - 5

We'll move
all terms to the right side and we'll use symmetric
property:

5x + y - 5 =
0

The equation of the lines that is passing
through the given points is: 5x + y - 5 = 0.