Question

Дана функция у=5х+1.Найдите координаты точек пересечения графика данной функции с осями

Answer 1

ОУ - (0;1)
OX - (-0.2;0)
1)Чтобы найти точки пересечения с осью OУ,надо подставить вместо х - 0
y=5*0+1(подставлять надо во всех уравнениях)
y=1
(0;1)
2)Чтобы найти точки пересечения с осью OХ,надо подставить вместо у - 0
0=5x+1(подставлять надо во всех уравнениях)
5x+1=0
5x=-1
x=-0.2
(-0.2;0)
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Answer 2

Finding the Points of Intersection

To find the points of intersection between the graph of the function y = 5x + 1 and the axes, we need to determine the coordinates where the graph intersects the x-axis and the y-axis.

Intersecting the x-axis: When the graph intersects the x-axis, the y-coordinate is equal to zero. To find the x-coordinate, we can set y = 0 in the equation and solve for x.

Intersecting the y-axis: When the graph intersects the y-axis, the x-coordinate is equal to zero. To find the y-coordinate, we can set x = 0 in the equation and solve for y.

Let's find the coordinates of the points of intersection:

1. Intersecting the x-axis: - Set y = 0 in the equation y = 5x + 1: 0 = 5x + 1 - Solve for x: 5x = -1 x = -1/5 - The coordinate of the point of intersection with the x-axis is (-1/5, 0).

2. Intersecting the y-axis: - Set x = 0 in the equation y = 5x + 1: y = 5(0) + 1 y = 1 - The coordinate of the point of intersection with the y-axis is (0, 1).

Therefore, the graph of the function y = 5x + 1 intersects the x-axis at (-1/5, 0) and the y-axis at (0, 1).