how to calculate the distance between two points on a graph { not coordinates}
Answers
Step-by-step explanation:
how to calculate the distance between two points on a graph { not coordinates}
ans=u have to put it on this formula
final position-initial position
Answer:
how to calculate the distance between two points on a graph { not coordinates}
Step-by-step explanation:
how to calculate the distance between two points on a graph { not coordinates}
Quick Explanation
When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this:
distance = √ a2 + b2
graph 2 points
Imagine you know the location of two points (A and B) like here.
What is the distance between them?
graph 2 points
We can run lines down from A, and along from B, to make a Right Angled Triangle.
And with a little help from Pythagoras we know that:
a2 + b2 = c2
graph 2 points
Now label the coordinates of points A and B.
xA means the x-coordinate of point A
yA means the y-coordinate of point A
The horizontal distance a is (xA − xB)
The vertical distance b is (yA − yB)
Now we can solve for c (the distance between the points):
Start with: c2 = a2 + b2
Put in the calculations for a and b: c2 = (xA − xB)2 + (yA − yB)2
Square root of both sides: c = square root of [(xA-xB)^2+(yA-yB)^2]
Done!
Examples
Example 1
graph 2 points
Fill in the values: c = square root of [(9-3)^2+(7-2)^2]
c = square root of [6^2+5^2] = square root of 61
Example 2
It doesn't matter what order the points are in, because squaring removes any negatives:
graph 2 points
Fill in the values: c = square root of [(3-9)^2+(2-7)^2]
c = square root of [(-6)^2+(-5)^2] = square root of 61
Example 3
And here is another example with some negative coordinates ... it all still works:
graph 2 points
Fill in the values: c = square root of [(-3-7)^2+(5-(-1))^2]
c = square root of [(-10)^2+(6)^2] = square root of 136
(Note √136 can be further simplified to 2√34 if you want)
Three or More Dimensions
It works perfectly well in 3 (or more!) dimensions.
Square the difference for each axis, then sum them up and take the square root:
Distance = √[ (xA − xB)2 + (yA − yB)2 + (zA − zB)2 ]
distance between (9,2,7) and (4,8,10) in 3d
Example: the distance between the two points (8,2,6) and (3,5,7) is:
= √[ (8−3)2 + (2−5)2 + (6−7)2 ]
= √[ 52 + (−3)2 + (−1)2 ]
= √( 25 + 9 + 1 )
= √35
Which is about 5.9
Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10
Equation of a Line from 2 Points
Algebra Index .