contestada

y = rx
y = sx
In the system of equations above, r and s are nonzero constants. When these equations are graphed in
the xy-plane, the result is a pair of intersecting lines. At what point do the lines intersect?

Respuesta :

facundo3141592

Answer: (0, 0)

Step-by-step explanation:

We have the linear system:

y = r*x

y = s*x

We want to find the point where the lines intersect,

We know that

r*x = y = s*x

r*x = s*x

if r and s are different numbers (if r = s, this means that the two lines are the same line)

Then we have that the equality is only true when x = 0.

this means that the value of y is.

y = s*0 = r*0 = 0

So the point (x, y) where the lines intersect is (0, 0)