Question

Which expression can be used to determine the slope of the linear function represented in the table? x 0 4 y 5 9

a 9-5 over 4-0
b 4-0 over 9-5
c 5-0 over 9-4
d 9-4 over 5-0

Answer 1

The answer is the first option 9-5/4-0

Explanation:

Answer 2

a) 9-5 over 4-0 is the CORRECT OPTION.

Explanation:

Here, according to the given information:

x 0 4

y 5 9

⇒ when x = 0, y = 5 or (0,5) is a given point on function.

and when x = 4, y = 9 or (4,9) is a given point on function.

Now, if two such points (a,b) and (c,d) are given, then the slope S is given as:

`S = ((d-b)/(c-a) )`

So, here taking (a,b) and (c,d) as (0,5) and (4,9):

`S = ((9-5)/(4-0) )`

Hence, 9-5 over 4-0 is the CORRECT OPTION.