Question

5. Use the two given points and calculate the slope.
(3, 4), (5,9)

Answer 1

The answer is 5/2. Cause of the slopes points so it would be 5/2.

Answer 2

`(5)/(2)`

Explanation:

For this situation we have the equation
`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`, where each variable represents a coordinate (e.g. in this case 4 could be
`y_(1)`). So first, let's define which coordinates will be the values of these variables:

(3,4):
`x_(1), y_(1)`

(5,9):
`x_(2), y_(2)`

Now we need to replace each variable with its given value:
`m = (9-4)/(5-3)`

And then do the subtraction to simplify:
`m=(5)/(2)`

Therefore, the slope of the line that passes through the points (3,4) and (5,9) is
`(5)/(2)`.