Has a positive gradient (in a y=mx+c graph)
If the line passing through these points is a straight line then it has a positive gradient.
The gradient of a line is the same as the slope of a line. It will tell someone measuring the line how straight the line is.
If plotting a graph and are producing a straight line to find a gradient: You plot a line of best fit, then you plot two other lines starting from the same point which show the extreme lines of best fit (do this in fainter lines so that the best one stands out). Find the gradients for all three lines, use the first line that you drew as the main value. Then find the largest difference between the middle line and the extreme lines E.g. if the gradient of the lines were: First line gradient = 1.2 Second (Top extreme line of best fit) gradient =1.5 Third (Minimum extreme line of best fit) gradient = 1.0 Find the larget difference: 1.5-1.2=0.3 1.0-1.2=-0.2 Therefore the largest difference is 0.3 (not 0.2) Therefore your final result would be: 1.2 (+-) 0.3 I hope this helps :D
Gradient is vertical rise / horizontal travel. If its derived from a mathematical expression, use differential calculus. If its a data driven ( hand drawn ) line, use best approximation tangent at point required.
Not at all. If the two variables have a negative correlation, that is as on increases the other decreases, then the line of best fit would have a negative gradient.
Has a positive gradient (in a y=mx+c graph)
A linear relationship is one where your equation forms a straight line. A positive linear relationship is one where this line has a positive gradient.
A graph which comes out as a straight line. This is usually in the form y = mx + b where b is the y co-ordinate where the line crosses the y-axis, and m is the gradient (rise divided by run/height divided by length). A graph of this type will always be going up (as in /) as it has positive gradient (thusly, one of negative gradient will be going downwards (\ so to speak).
basically the reciprocal of the original lines gradient is going to be the gradient for the perpendicular line (remember the signs should switch). For example if i had a line with the gradient of 3, then the gradient of the perpendicular line will be -1over3. But if the line had the gradient of -3, then the line perpendicular to that line will have the gradient 1over3.
No because the slope of a line can be positive or negative
The angle is the arc-tan of the gradient of the line. That is to say, the tangent of that angle is the gradient of the line or the angle between the straight line and the positive x-axis. Arc tan may also be written as tan-1 but that is frequently confused with 1/tan or the cotangent function.
If the line passing through these points is a straight line then it has a positive gradient.
No.
The gradient of a line is the same as the slope of a line. It will tell someone measuring the line how straight the line is.
The line has a negative slope (or negative gradient).When the angle between the line and the positive direction of Ox is obtuse then the slope is negative. Conversely, when the angle is acute, the slope is positive.
The higher the gradient, the more steeper the line will be.