Question

What is the slope represented by this table of values for a linear function?

Answer 1

Answer:

m= 3/2

Step-by-step explanation:

GIVEN :

x - 2 , 4 ,6,8  

y - 7,10, 13 ,16

Solution : Since we are given that function is linear that means equation formed with these points will be an equation of line .

Using the formula of slope of line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

⇒$m = \frac{10-7 }{4-2 }$

⇒$m = \frac{3 }{2} }$

Thus, The slope represented by this table of values for a linear function is 3/2.

Answer 2

You can use this formula:
m = ( y 2 - y 1 ) / ( x 2 - x 1 )
m = ( 10 - 7 ) / ( 4 - 2 ) = 3 / 2 
Linear function:  y = m x  + b
The slope is 3/2.