Question

Write ordered pairs of integers that satisfy the criteria in each part below. Remember that the origin is the point whose coordinates are (0, 0). When possible, give ordered pairs such that (i) both coordinates are positive, (ii) both coordinates are negative, and (iii) the coordinates have opposite signs in either order.
a. These points’ vertical distance from the origin is twice their horizontal distance.
b. These points’ horizontal distance from the origin is two units more than the vertical distance.
c. These points’ horizontal and vertical distances from the origin are equal, but only one coordinate is positive.

Answer 1

Answer:

a. These points’ vertical distance from the origin is twice their horizontal distance.

both coordinates positive A(2,4)

both coordinates negative B (-2,-4)

opposite signs case 1:  C (2,-4)

opposite signs case 2: D (-2,4)

b. These points’ horizontal distance from the origin is two units more than the vertical distance

both coordinates positive A(4,2)

both coordinates negative B (-4,-2)

opposite signs case 1:  C (4,-2)

opposite signs case 2: D (-4,2)

c. These points’ horizontal and vertical distances from the origin are equal, but only one coordinate is positive.

Case 1 x coordinate negative

A (-5,5)

Case 2 y coordinate negative

B (3,-3)

Step-by-step explanation: