Two different points on a number line are both 3 units from the point with coordinate -4 . The solution to which of the following equations gives the coordinates of both points? A) vert x+4vert =3 B) vert x-4vert =3 C) vert x+3vert =4 D) vert x-3vert =4 A B C D

To find the coordinates of the two points that are 3 units away from the point with coordinate -4, we can use the absolute value equation.The absolute value of a number represents its distance from zero on the number line. Therefore, the absolute value of the difference between a point and -4 will give us the distance between that point and -4.Let's analyze each option:A) This equation represents the distance between a point and -4 being equal to 3 units. Solving this equation, we get: or Solving for x, we get: or So, the coordinates of the two points are -1 and -7.B) This equation does not represent the distance between a point and -4 being equal to 3 units. It represents the distance between a point and 4 being equal to 3 units.C) This equation does not represent the distance between a point and -4 being equal to 3 units. It represents the distance between a point and -3 being equal to 4 units.D) This equation does not represent the distance between a point and -4 being equal to 3 units. It represents the distance between a point and 3 being equal to 4 units.Therefore, the correct answer is A) .