Question

What is the slope of the line passing through the following points: `(3/5,2) ; (2/10,5/4)`?

Answer 1

`m=15/8`

Explanation:

To find the slope given two points, we use the gradient formula: `m=(y_2-y_1)/(x_2-x_1)`, where `x_1,y_1` are the coordinates of the the first point and `x_2,y_2` are the coordinates of the second point and `m` is the slope (and its what we're trying to find). Lets call `(3/5,2)` the first point, and `(2/10,5/4)` the second point. It doesn't matter which one we call the first or second point, the answer will always be the same Applying the formula, we get the answer:
`m=(5/4-2)/(2/10-3/5)`
`m=(5/4-8/4)/(1/5-3/5)`
`m=(-3/4)/(-2/5)`
`m=15/8`