Question

. Найдите координаты точек пересечения графиков функций у= 2х +4 и y=x-2.​

Answer 1

2х +4 =x-2.​⇒х=-6, подставим -6 в любое уравнение, например, во второе. получим у=-6-2=-8

Значит, искомая точка (-6;-8)

Answer 2

Finding the Intersection Points of the Functions y = 2x + 4 and y = x - 2

To find the coordinates of the points where the graphs of the functions y = 2x + 4 and y = x - 2 intersect, we can set the two equations equal to each other and solve for x. Once we have the value of x, we can substitute it back into either equation to find the corresponding y-coordinate.

Step 1: Setting the Equations Equal to Each Other We start by setting the two equations equal to each other: 2x + 4 = x - 2

Step 2: Solving for x Now, we solve for x: 2x - x = -2 - 4 x = -6

Step 3: Finding the Corresponding y-coordinate We can substitute x = -6 into either equation to find the corresponding y-coordinate. Let's use the equation y = 2x + 4: y = 2(-6) + 4 y = -8

Therefore, the coordinates of the point of intersection are (-6, -8).

Conclusion The coordinates of the point where the graphs of the functions y = 2x + 4 and y = x - 2 intersect are (-6, -8).