Question

How do you find the slope of the line through the following pairs of points (2,-1/2) and (5, 3/2)?

Answer 1

The slope is `2/3`

Explanation:

Be a straight line passing through the points A and B of coordinates `(x_A;y_A)` and `(x_B;y_B)`.

The line's slope is found by calculating:
`(y_B-y_A)/(x_B-x_A)`

In your case, that is:
`(3/2-(-1/2))/(5-2)=(4/2)/3=2/3`