Question

What is the slope of the line passing through (7, -2) and (4,-3). What is the rise of that slope?

Answer 1

The slope of this line is `1/3`, and the rise of this slope is `+1`.

Explanation:

Given two points on a line with coordinates `(x_1, y_1)` and `(x_2, y_2)`, the slope of the line, `m`, is found using the formula

`m = (y_2 - y_1)/(x_2 - x_1)`

Since we have two points `(7, -2)` and `(4, -3)`, we can substitute these coordinates into the slope formula and simplify the expression to obtain the slope of this line.

`m = (-3 - -2)/(4 - 7) = (-1)/(-3) =1/3`

So the slope of the line is `1/3`.

As for the second question, slope is often defined as "rise over run." Therefore the 'rise' of this slope is `+1`.