Question

Графики функций y=-2x-3=x+3 пересекаются в точке

Answer 1

Y=-2x-3
y=x+3
-2x-3=x+3
-3x=6
x=-2
y=-2+3=1
Ответ: (-2;1) - точка пересечения

Answer 2

Finding the Intersection Point of the Functions

To find the intersection point of the functions \( y = -2x - 3 \) and \( y = x + 3 \), we need to set the two equations equal to each other and solve for the value of \( x \) where they intersect.

Setting the two equations equal to each other: \[ -2x - 3 = x + 3 \]

Solving for \( x \): \[ -2x - x = 3 + 3 \] \[ -3x = 6 \] \[ x = -2 \]

Intersection Point

The two functions intersect at the point \((-2, 1)\).

This information is supported by the equation \( y = -2x - 3 \) and \( y = x + 3 \) intersecting at the point \((-2, 1)\).

Therefore, the intersection point of the functions \( y = -2x - 3 \) and \( y = x + 3 \) is \((-2, 1)\).