Question

What point will y = 2x and y = 3x have in common?

a) (0, 1)
b) (1, 0)
c) (-1, 0)
d) (0, -1)

Answer 1

The point (0, 0) is the common point of intersection for the equations y = 2x and y = 3x.

Step-by-step explanation:

The given equations are y = 2x and y = 3x. To find the point of intersection, we can set the equations equal to each other:

2x = 3x

Subtracting 3x from both sides, we get:

-x = 0

Multiplying both sides by -1, we find:

x = 0

Substituting x = 0 into either of the original equations, we find that y = 2(0) = 0. Therefore, the point of intersection is (0, 0).