Question

Quadrilateral PQRS has vertices at the point P(1,0), Q(3,-1), R(3,-3), and S(2,-2). Find the slope of PS

Answer 1

The slope of the PS (m)=(2-1/-2-0)=-1/2

Answer 2

-2 is the slope of PS

Explanation:

Slope for the given two points
`(x_1, y_1)` and
`(x_2, y_2)` is given by:

`\text{Slope} = (y_2-y_1)/(x_2-x_1)`

As per the statement:

Quadrilateral PQRS has vertices at the point P(1,0), Q(3,-1), R(3,-3), and S(2,-2).

We have to find the slope of PS.

Coordinate of P and S are:

P(1, 0) and S(2, -2)

then by using slope formula we have;

`\text{Slope of PS} = (-2-0)/(2-1)`

⇒
`\text{Slope of PS} = (-2)/(1)`

⇒
`\text{Slope of PS} = -2`

Therefore, the slope of PS is, -2