SOLUTION: plot the points A(1,3) and B(2,5) work out the gradient of AB this the question in my home work, i do not understand Please help

Algebra ->  Coordinate-system -> SOLUTION: plot the points A(1,3) and B(2,5) work out the gradient of AB this the question in my home work, i do not understand Please help      Log On


   



Question 541232: plot the points A(1,3) and B(2,5)
work out the gradient of AB
this the question in my home work, i do not understand
Please help

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Gradient (or grade) is a word sometimes used for what we call the "slope" of a line.
We define slope as the ratio of the increase in the y-coordinate (sometimes called rise or DELTAy)
and the increase in the x-coordinate (sometimes called run or DELTAx).
I plotted the points and drew the segment AB in red. I colored the run blue and the rise green.
So to calculate the gradient, you count the units to the right (run), and the units up (rise) going from one point to the other, then divide
gradient=+rise%2Frun
For this problem,
gradient=+2%2F1=2
Sometimes, it is calculated without plotting, so instead of visualizing the rise and run, it is calculated by difference from the coordinates of the points:
For this problem, we could have calculated, without plotting:
gradient=+rise%2Frun=%285-3%29%2F%282-1%29=2%2F1=2