Respuesta :

The point where the lines intersect is (0, 0)

Answer:

[tex]\large\boxed{(0,0)}[/tex]

Step-by-step explanation:

In this question, we're trying to find the point where to two lines meet.

Our equations are:

  • y = x + 5x
  • y = -8x

To find the point of intersection, we would first have to solve for x with both equations.

Solve:

[tex]x + 5x \,\, -8x\\\\6x-8x\\\\-2x=0\\\\x= 0[/tex]

Now, we just plug in 0 to x to find the y.

[tex]x + 5x \,\, -8x\\\\0+5(0)-8(0)\\\\0+0-0\\\\0[/tex]

When you put them into a coordinate, it would be (0,0).

The lines would intersect at (0,0), due to the fact that there is no beginning point for the equations.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!