Distance and Midpoint Formulas Quick Check Use the graph to answer the following questions Find the midpoint where a third sprinkler needs to be placed (1 point) You are helping to plan a community garden. Sprinklers need to be set up at each end of the garden plot for irrigation, plus one more at the midpoint J = (1, 5); (3/2, 5/2); (3, 5/2) 5+ 3 (3, 4) 2 1 K = (5, 0); (3, - 5/2) 0 01 -2 -1 -1 23 56 7
To find the midpoint between points J and K, we use the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Plugging in the coordinates for J and K:
Midpoint = (((1 + 5)/2, (5 + 0)/2)
Midpoint = ((6/2, 5/2)
Midpoint = (3, 5/2)
Therefore, the midpoint where a third sprinkler needs to be placed is at the coordinates (3, 5/2).