This week in Math 10 we started to learn about the characteristics of Linear Relations, more specifically about the Distance Formula…

 

To find the exact length of a line segment on the graph of a linear relation, one can use the Distance Formula shown above.

To find the distance between two points (x1,y1) and (x2,y2), all that one needs to do is use the coordinates of these ordered pairs and apply the distance formula.

For example, if we had the coordinates of C(1,4) to E(4,0)

  • First, we would plug in the coordinates into the distance formula
  • Then solve what’s in the parenthesis, so (4-1) = 3 and (0-4) = -4
  • Next, we would square them, so and 
  • After we would add them, so 9 + 16 = 25
  • Finally, we would square root it, so the square root of 25 is 5
 

So the distance between the coordinates of C(1,4) to E(4,0) is 5