Question

Find the slope of the line that passes through the two points. (12,-5) and (10,-4)

Answer 1

Given parameters:

First point  = (12, -5)

Second point  = (10, -4)

Unknown:

Slope of the line = ?

Slope is simply the vertical rise divided by the horizontal distance.

             Slope  = $\frac{Rise }{horizontal distance}$

Simply to find slope;

           Slope  = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

First point  = (12, -5), x₁  = 12 and y₁  = -5

Second point  = (10, -4), x₂  = 10 and y₂  = -4

Input the parameters:

       Slope  =  $\frac{-4 -(-5)}{10 - 12}$

                  = $\frac{-4 + 5}{-2}$

                  = - $\frac{1}{2}$

The slope of the line is -$\frac{1}{2}$