Question

Find the slope, m of the line that passes through the points (3/8, −1/4) and (−5/16, 1/6)

Answer 1

`-(20)/(33)`

Explanation:

We have to use the slope formula:
`(y2 - y1)/(x2 - x1)`

1/6 is y2, -1/4 is y1, -5/16 is x2, and 3/8 is x1.

`(1/6-(-1/4))/(-5/16-3/8)`

`(1/6+1/4)/(-11/16)`

`(5/12)/(-11/16)`

Now lets put these fractions in a different form and divide them.

`(5)/(12)` ÷
`-(11)/(16)`

`(5)/(12)` ×
`-(16)/(11)`

`(5)/(3)` ×
`-(4)/(11)` =
`-(20)/(33)`

`-(20)/(33)` is your answer. I hope this helps! Let me know if I made a mistake or if you have any questions :)