Respuesta :
Answer:
Option c is correct
Slope = 2
Step-by-step explanation:
Using slope formula:
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
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;
[tex]\text{Slope} = \frac{9-3}{5-2}[/tex]
⇒[tex]\text{Slope} =\frac{6}{3}[/tex]
Simplify:
[tex]\text{Slope} =2[/tex]
Therefore, the slope of the function is: 2
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
[tex]Slope=\frac{(y-y')}{(x-x')}[/tex]
Now we put the values of x and y coordinates of the given points.
[tex]Slope=\frac{9-3}{5-2}=\frac{6}{3}=2[/tex]
Therefore slope of the line passing through (2, 3) and (5, 9) is 2.
