Points A, B, and C make the triangle△ABC and are at the coordinates A(3,−3), B(−7,−3), and C(3,7). Point D is the midpoint of BC and AD is a median of △ABC . What is the equation of the median in standard form? Group of answer choices

A.x+y=0
B.7x−4y=−2
C.3x+3y=−8
D. 4x−7y=5

The two equations are:

y = 5*x + 3

y = 5.5*x + 2

Step-by-step explanation:

By definition:

speed = distance/time

it can be rewritten as:

time = distance/speed

During the first half of the race Ben ran at a rate of 5 miles per hour for x hours and walked 3 miles. Let's call y, the number of miles in half the race; then he ran y-3 miles. The time he spend was:

x = (y-3)/5

Analogously, for the second half:

x = (y-2)/5.5

These two equations can be rewritten as

y = 5*x + 3

y = 5.5*x + 2

Which means that:

5*x + 3 = 5.5*x + 2

3-2 = 5.5*x -5*x

1 = 0.5*x

x = 2 hours

When you are solving for the variables in a situation represented by two equations you can isolate the same variable in both equations and equate the two terms, getting a new equation with only one variable. Another option is to isolate one variable in one equation and replace it in the other one.