Answer:
The slope between the points (2, 10) and (-5, 12) is m= -0.28.
Solution:
Given points are P = (2, 10) Q=(-5,12). We have to find the slope between these two points
The slope of the line passing through the two points [tex]p = (x_{1} , y_{1})[/tex] and [tex]q = (x_{1} , y_{2})[/tex] is given as
[tex]\mathrm{m}=\frac{\mathrm{y}_{2}-\mathrm{y}_{1}}{\mathrm{x}_{2}-\mathrm{x}_{1}}[/tex]
From the given points we have [tex]x_{1}=2, y_{1}=10, x_{2}=-5, y_{2}=12[/tex]
Plug the given values into the formula for the slope:
[tex]\mathrm{m}=\frac{12-10}{-5-2}=\frac{2}{-7}=\frac{-2}{7}[/tex]
Hence we get "m" = [tex]\frac{-2}{7} = 0.28[/tex]
