a. Points \( A \) and \( B \) are 1.5 units apart. (Type an integer, fraction, or mixed number.) b. Give the coordinates of one point that is 4 units from point \( C \) in the x-direction. (Type an ordered pair.)

To find a point that is 4 units from point \( C \) in the x-direction, you just need to add or subtract 4 from the x-coordinate of point \( C \). For example, if point \( C \) has coordinates \((x, y)\), then a point located 4 units to the right would be \((x+4, y)\) and a point to the left would be \((x-4, y)\). So if point \( C \) is \((3, 2)\), one valid point could be \((7, 2)\). As for the distance between points \( A \) and \( B \), being 1.5 units apart can lead to various coordinate setups. If you have point \( A \) at \((0, 0)\), then point \( B \) could be at \((1.5, 0)\) or \((0, 1.5)\) or any configuration where the distance calculation confirms that they indeed measure 1.5 units apart using the distance formula. Fun fact: You can think of this as the shortest hop you can make on a grid!