Will give the coordinates of the vertices of quadrilateral jklm are j(−3, 2) , k(4, −1) , l(2, −5) , and m(−5, −2) . drag and drop the choices into each box to correctly complete the sentences. the slope for jk , the slope of lk is the slope of ml , and the slope of mj . quadrilateral parallelogram . answer choices: *−1/2 *−3/7 *2/4 *is *is not *both pairs of opposite sides are parallel *only one pair of opposite sides is parallel *neither pair of opposite sides is parallel

calculate the slope m using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = J(- 3, 2 ) and (x₂, y₂ ) = K(4, - 1 )

= = -

with (x₁, y₁ ) = L(2, - 5 ) and (x₂, y₂ ) = K(4, - 1 )

= = = 2

Similarly

= = -

= = = 2

JKLM is a parallelogram because both pairs of opposite sides are parallel

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: