Question

Find the slope between points (2, 10) and (-5, 12)

Answer 1

2/-7 is the slope (12-10)/(-5-2) is 2/-7

Answer 2

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
`p = (x_(1) , y_(1))` and
`q = (x_(1) , y_(2))` is given as

`\mathrm{m}=\frac{\mathrm{y}_(2)-\mathrm{y}_(1)}{\mathrm{x}_(2)-\mathrm{x}_(1)}`

From the given points we have
`x_(1)=2, y_(1)=10, x_(2)=-5, y_(2)=12`

Plug the given values into the formula for the slope:

`\mathrm{m}=(12-10)/(-5-2)=(2)/(-7)=(-2)/(7)`

Hence we get "m" =
`(-2)/(7) = 0.28`