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helpmewiththings49
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
MrRoyal

The slope of a graph is the rate of the graph.

The value of k is 1/8

The function is given as:

[tex]\mathbf{y = 4kx - 5}[/tex]

A linear function is given as:

[tex]\mathbf{y = mx + b}[/tex]

Where: m represents slope

So, by comparison:

[tex]\mathbf{m = 4k}[/tex]

From the question, we have:

m = 1/2

So, we have:

[tex]\mathbf{4k = \frac 12}[/tex]

Divide both sides by 4

[tex]\mathbf{k = \frac 18}[/tex]

Hence, the value of k is 1/8

Read more about slopes at:

https://brainly.com/question/3605446

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