Question

Докажите, что точки А(-1;3), В(4;-7), D(-2;5) лежат на одной прямой

Answer 1

Я строить не буду, просто построй эти точки на координатной прямой и посмотри))

Answer 2

Checking if Points A(-1;3), B(4;-7), D(-2;5) Lie on the Same Line

To determine if the points A(-1;3), B(4;-7), and D(-2;5) lie on the same line, we can use the slope formula and check if the slopes between each pair of points are equal.

The slope formula is given by: m = (y2 - y1) / (x2 - x1)

Let's calculate the slopes between the pairs of points:

1. Slope between A and B: m_AB = (-7 - 3) / (4 - (-1)) = -10 / 5 = -2

2. Slope between A and D: m_AD = (5 - 3) / (-2 - (-1)) = 2 / -1 = -2

The slopes between A and B and between A and D are both -2, which means the points A, B, and D lie on the same line.

Therefore, the points A(-1;3), B(4;-7), and D(-2;5) do indeed lie on the same line.