Question

Начертите на плоскости координаты A(2,1) B(-4,1) C(2,-5) M(3,0) N(-2,-3) K(-2,2)

Answer 1

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Answer 2

Coordinates of Points

The coordinates of the given points are as follows: - A: (2, 1) - B: (-4, 1) - C: (2, -5) - M: (3, 0) - N: (-2, -3) - K: (-2, 2)

Distance between Points

The distance between two points (x1, y1) and (x2, y2) is given by the formula: √((x2 - x1)² + (y2 - y1)²)

Let's calculate the distances between the given points.

1. Distance between A and B: - Using the distance formula, the distance between A(2, 1) and B(-4, 1) is 6 units.

2. Distance between B and C: - Using the distance formula, the distance between B(-4, 1) and C(2, -5) is 10 units.

3. Distance between M and N: - Using the distance formula, the distance between M(3, 0) and N(-2, -3) is approximately 5 units.

4. Distance between K and N: - Using the distance formula, the distance between K(-2, 2) and N(-2, -3) is approximately 5 units.

Slope of Lines

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: m = (y2 - y1) / (x2 - x1)

1. Slope of Line AB: - The slope of the line passing through A(2, 1) and B(-4, 1) is 0.

2. Slope of Line BC: - The slope of the line passing through B(-4, 1) and C(2, -5) is -1.

3. Slope of Line MN: - The slope of the line passing through M(3, 0) and N(-2, -3) is approximately -0.6.

4. Slope of Line KN: - The slope of the line passing through K(-2, 2) and N(-2, -3) is undefined.

These calculations provide the distances between the given points and the slopes of the lines passing through them.