Which statement explains how you could use coordinate geometry to prove the diagonals of a quadrilateral are perpendicular?
use the slope formula to prove the slopes of the diagonals are the same.
use the slope formula to prove the slopes of the diagonals are opposite reciprocals.
use the distance formula to prove the lengths of the diagonals are the same.
use the distance formula to prove the midpoints of the diagonals are the same.

option b is correct.

step-by-step explanation:

we have to prove that diagonals of a quadrilateral are perpendicular

the diagonals are perpendicular if the slopes of the diagonals are:

m₁ = -1/m

so, use the slope formula to prove the slopes of the diagonals are opposite reciprocals.

hence option b is correct.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)