Question

Не виконуючи побудови, знайдіть координати точок перетину графіка функції у = 0,5х - 8 з осями координат. У відповідь внесіть координати цих точок.

Answer 1

Объяснение:

ОХ : у = 0

0,5х - 8 = 0

0,5х = 8

х = 16

(16; 0)

ОУ : х = 0

у = 0,5 * 0 - 8 = -8

(0; -8)

Answer 2

Finding the Intersection Points of the Function with the Coordinate Axes

To find the coordinates of the intersection points of the function y = 0.5x - 8 with the coordinate axes, we need to determine the points where the function intersects the x-axis and the y-axis.

# Intersection with the x-axis

The x-axis is represented by the equation y = 0. To find the x-coordinate of the intersection point, we substitute y = 0 into the equation y = 0.5x - 8 and solve for x:

0 = 0.5x - 8

Adding 8 to both sides:

8 = 0.5x

Multiplying both sides by 2:

16 = x

Therefore, the x-coordinate of the intersection point with the x-axis is x = 16.

# Intersection with the y-axis

The y-axis is represented by the equation x = 0. To find the y-coordinate of the intersection point, we substitute x = 0 into the equation y = 0.5x - 8 and solve for y:

y = 0.5(0) - 8

Simplifying:

y = -8

Therefore, the y-coordinate of the intersection point with the y-axis is y = -8.

# Coordinates of the Intersection Points

Based on the calculations above, we have found the following intersection points:

1. Intersection with the x-axis: (16, 0) 2. Intersection with the y-axis: (0, -8)

Please let me know if there is anything else I can help you with!