Question

Знайти точки перетину з осями координат графіка функції у= -2х+5

Answer 1

у = -2х + 5                       у = -2х + 5

0 = -2х + 5                       у = -2 · 0 + 5

2х = 5                               у = 0 + 5

х = 5 : 2                            у = 5

х = 2,5

Ответ: (2,5; 5) - точка пересечения с осями координат.

Answer 2

Finding the Intersection Points with the Coordinate Axes for the Function y = -2x + 5

To find the points of intersection with the coordinate axes for the function y = -2x + 5, we can set each axis equal to zero and solve for the corresponding variable. This will give us the x-intercept and y-intercept of the function.

1. Finding the x-intercept: - To find the x-intercept, we set y = 0 and solve for x. - The equation becomes 0 = -2x + 5. - Solving for x gives us x = 5/2.

2. Finding the y-intercept: - To find the y-intercept, we set x = 0 and solve for y. - The equation becomes y = -2(0) + 5. - Solving for y gives us y = 5.

Therefore, the x-intercept is at (5/2, 0) and the y-intercept is at (0, 5).