how do you work out the gradient of a line

Question

anonymous · Answer

we find slope of a line.....from the directional coefficient....gradient is generally found for a surface...

chaise · Answer

The gradient of a straight line can be determined by using:
Rise/Run. Or how much the line travels along the y axis divided by how much it travels between how much the line travels along the x axis. Gradients of curves are difficult as the line is curved and gradients are always changing.

anonymous · Answer

Take two distinct points onyour line (x1, y1) and (x2, y2) the numbers in the brackets are subscript indicating first x first y, second x etc.
subtract y2 from y1 call that yd ( d is subscript and means difference of y1 and y2)
subtract x2 from x1 and call that xd
divide yd by xd.
The resulyt will be the gradient of the line.
In a linear equation of the form y= ax + b
the gradient is the a value in the above equation.

chaise · Answer

To further your answer; once you have the gradient of your line (a). You can substitute your (x,y) values from any point on that line which you have used to find your gradient to find the y intercept of the graph (b). Putting all this together you can find the equation of your straight line simply with two points on a graph.