Question

Find a PQ to the nearest 10th and b the coordinates of the midpoint of PQ P(2,3) Q (4,-2)

Answer 1

• Midpoint = (3, 0.5)
• Distance = 5.4

Explanation:

Given points:

• P(2,3) and Q(4,-2)

Mid point using midpoint formula:

• x = (x1+x2)/2 = (2+4)/2 = 3
• y = (y1 + y2)/2 = (3 -2)/2 = 0.5
• Coordinates: (3, 0.5)

Distance PQ using distance formula:

• d =
  `√((x2 - x1)^2 + (y2 - y1)^2)`
• d =
  `√((4-2)^2 + (-2 -3)^2)` =
  `√(2^2 + 5^2) = √(29)` = 5.4