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?

Answer 1

SOLUTION

GIVEN

The ordered pairs in the table below represent a linear function

$\sf{x : \: \: 2 \: \: \: \: \: 3}$

$\sf{y : \: \: 5 \: \: \: \: \: 9}$

TO DETERMINE

The slope of the function

CONCEPT TO BE IMPLEMENTED

If (a, b) & (c, d) are two ordered pairs to represent a linear function then the slope of the function is

$\displaystyle\sf{ = \frac{d - b}{c - a} }$

EVALUATION

Here in the given two ordered pairs are ( 2,3), (5,9)

So The ordered pairs ( 2,3), (5,9) in the table represent a linear function

∴ The slope of the function

$\displaystyle\sf{ = \frac{9 - 3}{5 - 2} }$

$\displaystyle\sf{ = \frac{6}{3} }$

$= 2$

Additional Information

The equation of the linear function

( y - 3 ) = 2 ( x - 2 )

→ y = 2x - 1

FINAL ANSWER

The slope of the function = 2

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Answer 2

Answer:

Sum it up it's 2 or C

Step-by-step explanation: