Question

Постройте графики функций y=2x+1 y=3x-2 . Найдите координаты точки пересечения этих прямых.

Answer 1

Прямые пересекаются в точке (3:7)

Answer 2

Graphing the Functions y=2x+1 and y=3x-2

To graph the functions y=2x+1 and y=3x-2, we can use their slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

The slope-intercept form of the given functions are: - y=2x+1 - y=3x-2

The y-intercept of the first function y=2x+1 is (0, 1) and the y-intercept of the second function y=3x-2 is (0, -2).

Let's plot these points and draw the lines.

Finding the Intersection Point

To find the intersection point of these two lines, we need to solve the system of equations formed by the two functions.

The system of equations is: - y=2x+1 - y=3x-2

By solving these equations simultaneously, we can find the x and y coordinates of the intersection point.

Let's calculate the intersection point.