Question

A (3; 2) B (-2; 4) C (1; 2) D (-3; 1) Какая точка должна быть функцией y = -2x + 4?

Answer 1

У=-2х+4
А(х;у), значит :
А(3;2)=> у=-2*3+4=-2❌
В(-2;4)=> у=-2*(-2)+4=8 ❌
С(1;2)=> у=-2*1+4=2✔️
Д(-3;1)=> у=-2*(-3)+4=10❌

Answer 2

To find out which point should satisfy the function y = -2x + 4, you simply need to substitute the x-coordinate of each point into the equation and see if the resulting y-coordinate matches the y-coordinate of the point.

Let's check each point:

1. Point A (3; 2): Substituting x = 3 into the equation y = -2x + 4: y = -2(3) + 4 y = -6 + 4 y = -2

   The y-coordinate of Point A is -2, which matches the given y-coordinate. So, Point A satisfies the function.

2. Point B (-2; 4): Substituting x = -2 into the equation y = -2x + 4: y = -2(-2) + 4 y = 4 + 4 y = 8

   The y-coordinate of Point B is 8, which does not match the given y-coordinate of 4. So, Point B does not satisfy the function.

3. Point C (1; 2): Substituting x = 1 into the equation y = -2x + 4: y = -2(1) + 4 y = -2 + 4 y = 2

   The y-coordinate of Point C is 2, which matches the given y-coordinate. So, Point C satisfies the function.

4. Point D (-3; 1): Substituting x = -3 into the equation y = -2x + 4: y = -2(-3) + 4 y = 6 + 4 y = 10

   The y-coordinate of Point D is 10, which does not match the given y-coordinate of 1. So, Point D does not satisfy the function.

Therefore, the points that should be functions of y = -2x + 4 are Point A (3; 2) and Point C (1; 2).