Endpoints of segment mn have coordinates (0, −3), (−2, −4). endpoints of segment ab have coordinates (2, 5), (4, k).
what value of k makes these segments parallel?

The value of k is 6

Step-by-step explanation:

we know that

If two segments are parallel, then their slopes are the same

we know that

The formula to calculate the slope between two points is equal to

step 1

Find the slope MN

we have

M(0, −3), N(−2, −4)

substitute

step 2

Find the slope AB

A(2, 5), B(4, k)

substitute in the formula

Remember that the slopes MN and AB must be equal

Solve for k

therefore

The value of k is 6

the answer is simply just 6n add the two together as they have an n

answer is  

c.

36

step-by-step explanation: