Question

Find the slope of the line that passes through (9,4) and (6,9)

Answer 1

The slope is -5/3.

Explanation:

To find the slope of a line given two points, use the formula for slope:

`m = (y_(2) - y_(1))/(x_(2) - x_(1))`

The numerator means "rise" (distance vertically and if increasing or decreasing) and the denominator means "run" (distance horizontally).

Substitute (9,4) and (6,9) into the equation. The coordinates in each pair are in the format (x, y).

`m = (y_(2) - y_(1))/(x_(2) - x_(1))`

`m = (9 - 4)/(6 - 9)` <= simplify

`m = (5)/(-3)`

`m = -(5)/(3)`

The slope is -5/3.