Question

plot two points that are 7 units from point d and also share the same x-coordinate as point d.

Explanation:

Step1: Identify Point D's coordinates

From the graph, Point D has an x - coordinate of - 4 and a y - coordinate of 1 (since it's on the grid where x=-4 and y = 1).

Step2: Determine the vertical movement

Since the two points share the same x - coordinate as D (-4), we only need to change the y - coordinate. To be 7 units from D, we can move up 7 units and down 7 units from the y - coordinate of D.

• Moving up: The new y - coordinate is \(1 + 7=8\). So one point is \((-4,8)\).
• Moving down: The new y - coordinate is \(1-7 = - 6\). So the other point is \((-4,-6)\).

Answer:

The two points are \((-4,8)\) and \((-4,-6)\)