When you’re given coordinates

When you are given coordinates for two points on a straight line finding the gradient is logic based on what you already know.

Example

Given 10, 8 and 6, 6 find the gradient of the line.

First plot on a graph to help visualise.

Plot the coordinates on a graph

$Gradient\ (m)=\(y(chang\e\ i\n))/(x(chang\e\ i\n)$

Then draw the line between the points.

Draw the line between the points

Now work out the horizontal $(x)$ and vertical $(y)$

Now find the rise and run of the new line and work the gradient out from there

$Gradient\ (m)=(+2)/(+4)=1/2$

Gradient of this line $(m)$ = $1/2=0.5$