Connor is constructing rectangle abcd. he has plotted a at (−2, 4), b at (0, 3), and c at (−2, −1). which coordinate could be the location of point d?

The location of point D is (-4,0)

Step-by-step explanation:

Plot the points A(−2, 4), B(0, 3),C(−2, −1)

see the attached figure

we know that

The coordinates of point D  is the intersection of the line parallel to BC that passes through  the point A with the line parallel to AB that passes through the point C

step 1

Find the slope BC

m=(-1-3)/(-2-0)=2

step 2

Find the slope AB

m=(3-4)/(0+2)=-1/2

step 3

Find the equation of the line parallel to BC that passes through  the point A

we have

m=2

A(-2,4)

The equation of the line into point slope form is equal to

y-4=2(x+2)

y=2x+4+4

y=2x+8 > equation 1

step 4

Find the equation of the line parallel to AB that passes through  the point C

we have

m=-0.5

C(-2,-1)

The equation of the line into point slope form is equal to

y+1=-0.5(x+2)

y=-0.5x-1-1

y=-0.5x-2 > equation 2

step 5

Solve the system of equations 1 and 2

y=2x+8 > equation 1

y=-0.5x-2 > equation 2

Solve the system by graphing

The solution of the system is the point D of rectangle

The solution is D(-4,0)

c

step-by-step explanation:

nada

step-by-step explanation: