Question

Помогите решить : Найти координаты точки пересечения графиков функций y=-0,75 и y=5x+11,5

Answer 1

Y=-0,75 и y=5x+11,5
5x+11,5=-0,75
5x= -0,75-11,5
5x=-12,25
x= -2,45
y=5*(-2,45)+11,5
y= -12,25+11,5
y=-0,75
Ответ: А(-2,45;-0,75).

Answer 2

Finding the Intersection Point of the Functions

To find the coordinates of the intersection point of the functions \(y = -0.75\) and \(y = 5x + 11.5\), we can set the two equations equal to each other and solve for the value of \(x\).

The equations are: 1. \(y = -0.75\) 2. \(y = 5x + 11.5\)

Setting them equal to each other: \[ -0.75 = 5x + 11.5 \]

Solving for x

\[ 5x = -0.75 - 11.5 \] \[ 5x = -12.25 \] \[ x = -12.25 / 5 \] \[ x = -2.45 \]

Now that we have the value of \(x\), we can substitute it back into either of the original equations to find the value of \(y\).

Solving for y

Using the equation \(y = 5x + 11.5\): \[ y = 5(-2.45) + 11.5 \] \[ y = -12.25 + 11.5 \] \[ y = -0.75 \]

So, the coordinates of the intersection point of the two functions are: \[ \text{Intersection point} (-2.45, -0.75) \]

Note: The coordinates of the intersection point are \((-2.45, -0.75)\) based on the given functions \(y = -0.75\) and \(y = 5x + 11.5\).