Question

Найдите координаты точек пересечения графика функции у=0.4х+2 с осями координат

Answer 1

С осью ординат: x=0 y = 0.4*0+2= 2
с осью абцисс: y=0 y = 0.4*x+2= 0 => 0.4x=-2 => x=2:0.4 = 5

Answer 2

Finding the Intersection Points of the Function y=0.4x+2 with the Coordinate Axes

To find the coordinates of the points where the graph of the function y=0.4x+2 intersects the coordinate axes, we can use the given information to solve for the x and y values at these points.

Intersection with the x-axis: The x-axis is where y=0. To find the x-coordinate of the point of intersection with the x-axis, we can set y=0 in the equation y=0.4x+2 and solve for x.

Intersection with the y-axis: The y-axis is where x=0. To find the y-coordinate of the point of intersection with the y-axis, we can set x=0 in the equation y=0.4x+2 and solve for y.

Let's calculate the coordinates of the points of intersection with the x and y axes.

Calculating Intersection with the X-Axis

Setting y=0 in the equation y=0.4x+2: 0 = 0.4x + 2 0.4x = -2 x = -2 / 0.4 x = -5

So, the x-coordinate of the point of intersection with the x-axis is -5.

Calculating Intersection with the Y-Axis

Setting x=0 in the equation y=0.4x+2: y = 0.4(0) + 2 y = 2

So, the y-coordinate of the point of intersection with the y-axis is 2.

Therefore, the coordinates of the points where the graph of the function y=0.4x+2 intersects the coordinate axes are: - Intersection with the x-axis: (-5, 0) - Intersection with the y-axis: (0, 2)