How do you work out gradient?

I know i must sound like a complete idiot, but i can't work out gradient on a line graph. The line is straight, but sloping upwards. Please can you help me? I need a simple answer because I've looked on here for similar questions and the answers are really confusing!


Thanks!How do you work out gradient?
You don't sound like an idiot at all. In fact, as a highschool maths tutor, I often get questions like this. The answer, while simple, is not that straightforward. In fact there are a number of ways to calculate the gradient of a linear equation (i.e. a straight line) depending on what you have to work with. I will list three:





1) If you know the angle made with the positive x direction, then you can calculate the gradient by taking the tangent of that angle. E.g. M = tan(60)





2) If you know the general equation to the line (Y = Mx + c) it is simply the coefficient of the independent variable, the M.





3) If you know 2 points on the line (and since you have a graph of the line, you can choose ANY two points you like!) you can work out the gradient by finding the ratio of the differences between the y terms and the x terms. That is: M = (y1 - y2)/(x1-x2)


This is often referred to as the RISE over RUN.





Hope this helps!How do you work out gradient?
To find gradient or slope you need to use this formula





y2-y1 / x2 - x1 = m


(m stand for slope) %26lt;%26lt; this is a formula to find slope





to find for standard form you need this one





y-y1 = m(x-x1)


{but to work this out you need to have slope and coordinates}





And you said that you can't work out a gradient on a line graph


. When you graph it a straight line right and to find a slope of this line you must have 2 coordinates which is (x1,y1) and (x2,y2) right. Now how to to find these coordinates then. You know everything work from left to right like this question 5-1 = 4 right that work from left to right you not going to do it from right to left right because the answer going to be wrong. Just like this to find coordinates you need to look from left to right (always) and then you choose one of the coordinates that a line pass. And if you get it already (remember two coordinates only) just replace it in an equation that I have wrote down for you --





I hope that can help you out.
you have to use this equation.





y = mx + c





c = the y intercept (the number it goes through on the y axis.


m = gradient.





right what you have to do is pick two points on your line. For example:


(7,11) and (12,31)


7 and 12 are the x co-ordinates and


11 and 31 are the y co-ordinates


to work out the gradient you need to do 31-11 = 20


and 12-7 = 5





20/5 = 4





4 is your gradient





sorry if thats not very clear, its quite hard to explain without showing you.
delta Y divided by delta X


That is the change in height divided by the run


Or if you have graphed the line and used X as the horizontal scale and Y as the vertical scale then you choose two points on the line (X1, Y1) (the point with the lower values, to the left) and (X2, Y2) (the point with the higher values, to the right) the gradient is:


(Y2-Y1) / (X2-X1)
all u have to do is draw a line connecting point 1 and point 2 vertically and horizontally. (U'l c a triangle forming)





measure the length vertically, starting from point 1 to point 2 ( make sure u measure the vertical length and not the aligned length). say this is x





simllarly get the horizontal length from point 1 to point 2. say this is y





gradient would be x/y
the formula Y1-Y2 divided by X1-X2...so simply take two points from your y axis at the same point read your x axis.Then subtract your Y1-Y2 and the same order Subtract X1-X2 the divide.e.g co-ordinates (2,3) AND (4,5) Y1 I'm gonna make 5 so y2 is 3 i have to have the same order for X so will be 4 and 2.5-3 divided by 4-2=gradient = 1
get two points, write their coordinates down.


(x,y) (x,y)


calculate the change in x and then the change in y.


divide the change in x by the change in y.
The gradient is also called the slope.





If the function is growing the slope is positive.





Look upon your line. Take two points (x1,y1) and (x2,y2)





gradient: d/dx = (y2-y1)/(x2-x1)
find two sets of coordinates on the graph, then do:





(change in y values) / (change in x values) = gradient of straight line





:)
gradient is rise/run


rise= the heught difference of the two points


run= the width difference
don't know.
rise over run