The table represents a linear function?

Mathematics

2 answers:

Llana [10]3 years ago

5 0

Hello Fantaysias,

How are you doing? I know this is kind of late, but here goes nothing! Yes, it is a linear equation, you know this because, the input always will result with the same output. Plus, since it has a slope, which is 10 by the way, it also confirms that this is linear! Linear means, that if you put these plots on a line, it will create a straight line! Hope I helped!

Thank you,
Darian D.

Sauron [17]3 years ago

4 0

Answer: 5

Step-by-step explanation:

In the given picture we have a table representing two columns as x and y.

We know that the slope of the function is given by :-

$k=\dfrac{y_2-y_1}{x_2-x_1}$

Using points (0,4) and (2,14) from the table , we get the slope of the function will be :-

$k=\dfrac{14-4}{2-0}\\\\\\=\dfrac{10}{2}=5$

Therefore, the slope of the given function in the table = 5

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