Question

Find the slope of the line that passes through the pair of points

Answer 1

`(5,805)/(2812)`

Step-by-step explanation:

To find the slope from two points you can use the following formula:

`m = (y -y_(1) )/(x -x_(1) )`

Now substitute the two sets of points
`((7)/(20), (5)/(19) ) and ((5)/(9), (11)/(16))`

Substitute the values like this:

`y = (5)/(19), y_(1) = (11)/(16), x = (7)/(20)` and
`x_(1) =(5)/(9)`

Now you will need to simplify the following expression:

`m = ((5)/(19) -(11)/(16) )/((7)/(20)-(5)/(9) )`

Make sure that denominators are the same before substracting:

`m = ((-129)/(304) )/((-37)/(180) )`

when you divide with a fractional number you only need to flip the second fraction over (find its reciprocal). Then just multiply:

`m = ((-129)/(304) })({(-180)/(37) } ) = (5805)/(2812)`