Question

Найди точки пересечения прямой, заданной уравнением  y = - 7,5x - 8с осями координат. Запиши числа в поля ответа. Обыкновенную дробь запиши в виде 1/3. помогите пожалуйста​

Answer 1

Ответ:

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Answer 2

Finding the Intersection Points of a Line with the Coordinate Axes

To find the intersection points of the line with the coordinate axes, we can use the equation of the line provided: y = -7.5x - 8.

1. Intersection with the x-axis: - When the line intersects the x-axis, the y-coordinate is 0. We can substitute y = 0 into the equation and solve for x.

Substituting y = 0 into the equation: ``` 0 = -7.5x - 8 ```

Solving for x: ``` -7.5x = 8 x = -8 / -7.5 x = 8 / 7.5 ```

The x-coordinate of the intersection point with the x-axis is 8/7.5.

2. Intersection with the y-axis: - When the line intersects the y-axis, the x-coordinate is 0. We can substitute x = 0 into the equation and solve for y.

Substituting x = 0 into the equation: ``` y = -7.5(0) - 8 y = -8 ```

The y-coordinate of the intersection point with the y-axis is -8.

Therefore, the intersection points of the line with the coordinate axes are: - Intersection with the x-axis: (8/7.5, 0) - Intersection with the y-axis: (0, -8)