Question

Постройте отрезок BM, где B (-1;4), M (5;-2), и запишите координаты точек пересечения этого отрезка с осями координат.Помогите умоляю!

Answer 1

Рисунок в файле..............

Answer 2

Building the Line Segment BM

To build the line segment BM, where B is (-1, 4) and M is (5, -2), we can use the coordinates of these points to find the equation of the line passing through them. The equation of a line passing through two points (x1, y1) and (x2, y2) is given by:

y - y1 = (y2 - y1) / (x2 - x1) * (x - x1)

Substituting the given coordinates of B and M, we get:

y - 4 = (-2 - 4) / (5 - (-1)) * (x - (-1))

Solving this equation will give us the equation of the line segment BM.

Finding the Intersection Points with the Coordinate Axes

To find the intersection points of the line segment BM with the coordinate axes, we can substitute the x and y coordinates of the points of intersection into the equation of the line.

Let's solve for the intersection points with the x-axis and y-axis.

Intersection with the X-Axis

Substituting y = 0 into the equation of the line segment BM, we get: 0 - 4 = (-2 - 4) / (5 - (-1)) * (x - (-1))

Solving for x will give us the x-coordinate of the point of intersection with the x-axis.

Intersection with the Y-Axis

Substituting x = 0 into the equation of the line segment BM, we get: y - 4 = (-2 - 4) / (5 - (-1)) * (0 - (-1))

Solving for y will give us the y-coordinate of the point of intersection with the y-axis.

Let's calculate the intersection points with the coordinate axes.