for my Science coursework we need to calculate the line of the graphs we have drawn. So how do you do it? xHow to calculate the gradient of a line?
eqn of a line
y and x are variables
b is the point the line crosses the y axis
m is the gradient and is calculated by any two points on the line (x1,y1) and (x2,y2) by:
m=(y2-y1)/(x2-x1)How to calculate the gradient of a line?
The Two Point formula of a line is probably your best bet in this situation. All you need to do is to find two points that are easy to identify and use this formula:
(y-y₂)/(x-x₂) = (y₁-y₂)/(x₁-x₂) for points (x₁,y₁) and (x₂,y₂)
If your two points are
P₁(7,5) and P₂(6,-2) then
(y+2)/(x-6) = (5+2)/(7-6)
(y+2)/(x-6) = 7/1
.......... y+2 = 7(x-6)
.......... y+2 = 7x-42
.............. y = 7x -44
The right hand side of the formula is the slope of the line:
(y₁-y₂)/(x₁-x₂) = slope
Also, y = 7x -44 is in the Slope-Intercept
form y=mx+b where m=slope and b=y-intercept.
So y = 7x -44 has slope 7 and crosses the y=axis at -44.
the difference of the 2 y divided bu the difference of the 2x
the 1st spot: (2,1)
the 2nd spot: (3,4)
subtract the Ys: 1 - 4
subtract the Xs: 2 - 3
the differences: y: -3
= -3/-1 = 3
the gradient is 3
gradient line is also called a slope.
it's usually represented by m [not sure but that what i remember from my lesson]
if you want to see it here's the link.