Question

Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and

final vertex, S, at (9,5). What will be the length of side PS?

Answer 1

11 units

Explanation:

Length of side PS can be calculated using the distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Where,

`P(-2, 5) = (x_1, y_1)` (the coordinate of P is gotten from the graph)

`S(9, 5) = (x_2, y_2)` (given)

`PS = √((9 - (-2))^2 + (5 - 5)^2)`

`PS = √((11)^2 + (0)^2)`

`PS = √(121) = 11 units`