Question

The ordered pairs in the table below represent a linear function.

x y
2 3
5 9


What is the slope of the function?

a.1/4
b.1/2
c.2
d.4

Answer 1

Option C. slope = 2 is the answer.

Explanation:

The ordered pairs in the table are (2, 3) and (5, 9). These ordered pairs represent a linear function.

We have to calculate the slope of the line passing through these two points.

Since slope of a line passing through two points is defined as

`Slope=((y-y'))/((x-x'))`

Now we put the values of x and y coordinates of the given points.

`Slope=(9-3)/(5-2)=(6)/(3)=2`

Therefore slope of the line passing through (2, 3) and (5, 9) is 2.

Answer 2

Option c is correct

Slope = 2

Explanation:

Using slope formula:

`\text{Slope} = (y_2-y_1)/(x_2-x_1)`

As per the statement:

The ordered pairs in the table below represent a linear function.

x y

2 3

5 9

Consider these points to find slope:

(2, 3) and ( 5, 9)

Substitute these points in the formula we have;

`\text{Slope} = (9-3)/(5-2)`

⇒
`\text{Slope} =(6)/(3)`

Simplify:

`\text{Slope} =2`

Therefore, the slope of the function is: 2