Question

8. Не виконуючи побудов, знайти точки перетину з координатними осями графіка 1 функції y = - 4 x +5.​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

Finding the Intersection Points with the Coordinate Axes

To find the intersection points of the graph of the function y = -4x + 5 with the coordinate axes, we need to determine the values of x and y when the graph intersects the x-axis and the y-axis.

# Intersection with the x-axis

The x-axis is the horizontal axis with y-coordinate equal to zero. To find the intersection point with the x-axis, we set y = 0 and solve for x.

Setting y = 0 in the equation y = -4x + 5, we have: 0 = -4x + 5

Solving for x, we get: 4x = 5 x = 5/4

Therefore, the graph intersects the x-axis at the point (5/4, 0).

# Intersection with the y-axis

The y-axis is the vertical axis with x-coordinate equal to zero. To find the intersection point with the y-axis, we set x = 0 and solve for y.

Setting x = 0 in the equation y = -4x + 5, we have: y = -4(0) + 5 y = 5

Therefore, the graph intersects the y-axis at the point (0, 5).

So, the graph of the function y = -4x + 5 intersects the x-axis at the point (5/4, 0) and the y-axis at the point (0, 5).