Question

Indicate in standard form the equation of the line passing through the given points. B(0, 0), C(4, -4)

Answer 1

first find the slope of the line
by dividing the difference in y-values by difference in x-values

in this case that is

(-4-0) / (4 - 0)

Answer 2

then use the general form

y-y1 = m(x - x1)

where m = slope you just found and (x1, y1) is one of the given points

Answer 3

in your case its easier to use (x1,y1) = (0,0)