Question

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?

Answer 1

Answer: k=1

Explanation:

22a) rsm :)

Answer 2

The value of k is 6

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

`m=(y2-y1)/(x2-x1)`

step 1

Find the slope MN

we have

M(0, −3), N(−2, −4)

substitute

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

`m=(-1)/(-2)`

`m=0.5`

step 2

Find the slope AB

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

substitute in the formula

`m=(k-5)/(4-2)`

`m=(k-5)/(2)`

Remember that the slopes MN and AB must be equal

`0.5=(k-5)/(2)`

Solve for k

`1=k-5`

`k=1+5=6`

therefore

The value of k is 6