The point (x, y) where the lines intersect is (0, 0).
What is lines intersect?
The empty set, a point, or another line can cross another line in Euclidean geometry. Examples of applications for identifying these circumstances and locating the intersection include computer graphics, motion planning, and collision detection.
We have the linear system:
y = r[tex]\times[/tex]x
y = s[tex]\times[/tex]x
We want to find the point where the lines intersect,
We know that
r[tex]\times[/tex]x = y = s[tex]\times[/tex]x
r[tex]\times[/tex]x = s[tex]\times[/tex]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[tex]\times[/tex]0 = r[tex]\times[/tex]0 = 0
So the point (x, y) where the lines intersect is (0, 0).
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