Find the value of k so that the graph of the equation has the given slope or y-intercept:
y=4kx-5 ; m=1/2

This is based of the linear equation:

y = mx + c

They have provided m which is 1/2 which is 0.5

And y = 4kx - 5

Which is a variation of the linear equation:

y = mx + c
y = 4kx - 5

If u see it closely,
m = 4k
c = -5

As you can see, m = 4k, and you have the value of m therefore,

m = 4k
m = 0.5

so:

0.5 = 4k

Now, we just have to solve for k.

0.5 = 4k

0.125 = k

k = 0.125.

Therefore k is 0.125.

Hope it helps, and have a great day ahead :D