Find the distance between the points at (2,-5) and (8,-2)

Question

Then find the slope of the line passing through these points 

Answer 1

Finding the distance will require the distance formula, which is  d = √(x₂-x₁)² + (y₂-y₁)² 

 

So you will take the difference between the x values and square them and add them to the difference between the y values squared and that will give you the distance between the two points.

 

So 8-2= 6 and 6x6=36      then -2 - (-5)=3 and 3x3=9    Then you add those two to get 45, and the square root of 45 is 3√5.  

 

To find the slope, you use the formula  y₂ - y₁ divided by or over x₂ - x₁, know as rise/run.  

So your slope would be -2 - (-5)/8 - 2 which gives you 3/6 and reduces to 1/2.

 

Hope that helps!