the slope of line joining the points (2, k) and (-4, 2) is 1/2. find the value of k Question the slope of line joining the points (2, k) and (-4, 2) is 1/2. find the value of k in progress 0 Math Reagan 1 month 2021-08-18T13:31:43+00:00 2021-08-18T13:31:43+00:00 2 Answers 0 views 0

## Answers ( )

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

Slope=y2-y1/x2-x11/2=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=5Hope it helps you.

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