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)

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

n

step-by-step explanation: