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Perplex
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Cartesian plane & lines
/
Distance, Midpoint, & Gradient
Equations of a Line
Distance, Midpoint, & Gradient
Cartesian plane & lines

Distance, Midpoint, & Gradient

0 of 0 exercises completed

Distance between two points, midpoint of two points, and finding gradient using two points

Want a deeper conceptual understanding? Try our interactive lesson!

Distance between 2 points
2. Prior learning

The distance between two points ​(x1​,y1​)​ and ​(x2​,y2​)​ is given by

​
d=√(x1​−x2​)2+(y1​−y2​)2​📖
​
Midpoint of 2 points
2. Prior learning

The coordinates of the midpoint of two points is

​
(2x1​+x2​​,2y1​+y2​​)📖
​


Slope as rise over run
SL Core 2.1

The gradient of the line is a measure of its steepness. It is calculated by measuring the rise (change in ​y​) in the line over a certain run (change in ​x​).


The gradient of the line passing through the points ​(x1​,y1​)​ and ​(x2​,y2​)​ is

​
m=x2​−x1​y2​−y1​​📖
​


Nice work completing Distance, Midpoint, & Gradient, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!
/
Cartesian plane & lines
/
Distance, Midpoint, & Gradient
Equations of a Line
Distance, Midpoint, & Gradient
Cartesian plane & lines

Distance, Midpoint, & Gradient

0 of 0 exercises completed

Distance between two points, midpoint of two points, and finding gradient using two points

Want a deeper conceptual understanding? Try our interactive lesson!

Distance between 2 points
2. Prior learning

The distance between two points ​(x1​,y1​)​ and ​(x2​,y2​)​ is given by

​
d=√(x1​−x2​)2+(y1​−y2​)2​📖
​
Midpoint of 2 points
2. Prior learning

The coordinates of the midpoint of two points is

​
(2x1​+x2​​,2y1​+y2​​)📖
​


Slope as rise over run
SL Core 2.1

The gradient of the line is a measure of its steepness. It is calculated by measuring the rise (change in ​y​) in the line over a certain run (change in ​x​).


The gradient of the line passing through the points ​(x1​,y1​)​ and ​(x2​,y2​)​ is

​
m=x2​−x1​y2​−y1​​📖
​


Nice work completing Distance, Midpoint, & Gradient, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!

Generating starter questions...

Generating starter questions...