Question

or Find the slope of the line that passes through (10, 2) and (3, 6). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

`m = -(4)/(7)`

Explanation:

The equation to determine the slope of a line is
`m = (y_(2)-y_(1))/(x_(2)-x_(1))`.

Step 1: Associate Variables

`(x_(1), y_(1)) = (10, 2)\\(x_(2), y_(2)) = (3, 6)`

Step 2: Solve Equation

`m = (y_(2)-y_(1))/(x_(2)-x_(1)) = (6-2)/(3-10)=(4)/(-7)=-(4)/(7)`