Question

the slope of line joining the points (2, k) and (-4, 2) is 1/2. find the value of k​

Answer 1

Answer:

k = 5

Step-by-step explanation:

The slope can be found by using the formula:

Slope =( Y₂-Y₁ )/ ( X₂-X₁ )

Therefore,

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

1/2 × -6 = 2 - k

-3 - 2 = - k

-5 = -k

5 = k

So k = 5

Answer 2

Answer:

Let A(2,k) and B(-4,2) be two points and slope m=1/2

Slope=y2-y1/x2-x1

1/2=2-k/-4-2  [y1=k,y2=2,x1=2,x2=-4,m=1/2]

⇒

-(4+2)=2(2-k)

-6=4-2k

2k=10

⇒k=5

Hope it helps you.