Question

Y=--2x
And y = x + 3
Does the points intersect?

Answer 1

The lines intersect at the point
`(-1,2)`

Step-by-step explanation:

The given two equations are
`y=-2x` and
`y=x+3`

We need to determine the whether that they intersect.

To determine the point of intersection, let us solve the equation by substitution method.

Let us equate both the equations.

Thus, we have,

`-2x=x+3`

Subtracting both sides by x, we get,

`-2x-x=x+3-x`

Simplifying, we have,

`-3x=3`

Dividing both sides by -3, we get,

`x=-1`

Substituting
`x=-1` in the equation
`y=-2x`, we get,

`y=-2(-1)`

`y=2`

Thus, the lines intersect at the points
`x=-1` and
`y=2`

Hence, the lines intersect at the point
`(-1,2)`