Question

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

Answer 1

Answer:

Option C. slope = 2 is the answer.

Step-by-step 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

$Slope=\frac{(y-y')}{(x-x')}$

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

$Slope=\frac{9-3}{5-2}=\frac{6}{3}=2$

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

Answer 2

Answer:

Option c is correct

Slope = 2

Step-by-step explanation:

Using slope formula:

$\text{Slope} = \frac{y_2-y_1}{x_2-x_1}$

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;

$\text{Slope} = \frac{9-3}{5-2}$

⇒$\text{Slope} =\frac{6}{3}$

Simplify:

$\text{Slope} =2$

Therefore, the slope of the function is: 2