Question

Indicate in standard form the equation of the line passing through the given points.

B(0, 0), C(4, -4)

Answer 1

first we find the slope by using our points and the slope formula
slope(m) = (y2 - y1) / (x2 - x1)
(0,0)...x1 = 0 and y1 = 0
(4,-4)...x2 = 4 and y2 = -4
now we sub
slope(m) = (-4-0) / (4 - 0)
slope(m) = -4/4
slope(m) = -1

now we use y = mx + b
slope(m) = -1
use either of your sets of points..(4,-4)...x = 4 and y = -4
now we sub
-4 = -1(4) + b
-4 = -4 + b
-4 + 4 = b
0 = b

so your equation is : y = -x + 0
standard form is Ax + By = C
add x to both sides
x + y = 0 <=== standard form

Answer 2

any questions ?