Question

find k if line passing through (2,k) and (-4,2) has slope 1/2 ​

Answer 1

Answer:

k=5

Step-by-step explanation:

Let y=mx+c

y=1/2x+c

substitute(-4,2)

2=1/2(-4)+c

2=-2+c

c=4

substitute (2,k)

k=1/2(2)+4

k=5

Hope u find it helpful

Answer 2

Answer:

Let A=(2,k) =(x,y)

B=(-4,2)=(e,f)

Step-by-step explanation:

As SLOPE(m)=1/2

Also m= y - f / x - e

1/2=k - 2 / 2 - (-4)

1/2=k - 2 / 2 + 4

1/2=k -2 / 6

On cross multiplying,

2(k - 2) = 6

2k - 4 = 6

2k = 6 + 4

2k = 10

=> k = 10 / 2

=> k = 5