Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0, 0) and (0, -12)?

check all that apply

a. add the endpoints
b. count by hand
c. divide 12 by 2
d. divide -12 by 2

the answer is the option D

Divide by

Step-by-step explanation:

we know that

The formula to calculate  the y-coordinate of the midpoint between two points  is equal to

where y1,y2 are the y-coordinates of the two points

In this problem we have

Points and

so

Substitute the values in the formula

therefore

the answer is the option D

Divide by

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

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step-by-step explanation: