Quadrilateral pqrs has vertices p(-2,4) q(0,5) r(1,4) and s(-2,3). determine if quadrilateral pqrs is a rectangle

No, quadrilateral PQRS is not a rectangle. The opposite sides are not parallel

Step-by-step explanation:

we know that

A rectangle is a quadrilateral that has opposite sides parallel and congruent and its internal angles are right angles

we have

vertices P(-2,4) Q(0,5) R(1,4) and S(-2,3)

using a graphing tool

Plot the vertices to better understand the problem

Observing the figure , the opposite sides are not parallel

therefore

Is not a rectangle

step-by-step explanation:

4227473658779875563886538705958641728563470543621287463824132573847969p05749365273847906970680574936214

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )