I believe one of the relationships between x and y in a non-linear graph will be the slope of each point will be unproportional. Therefore, it will create a non-straight line (usually a curved line) on the graph. If it's a linear graph, the slope is proportional and the line will be straight. If anyone thinks this is not "straight to the point", please feel free to correct this.
{Added}. You are correct! The non-linear trace is curved. Linear means the trace is a straight line, produced when the y values are controlled by straightforwardly multiplying each x value by a constant which can be any number (except of course, 0).
A non-linear graph is one in which the y ordinates are controlled by x^N where N is not equal to 1, by a trigonometrical or logarithmic function of x; or in the particular case of the Hyperbola, the reciprocals of the x values.
What happens though in y = x^N when N does = 0? I'll leave it to you to spot the result - you don't need to calculate or plot it to realise the answer!
The graph doesn't intersect either axis.
A quadratic relationship is a mathematical relationship that can be expressed by a quadratic formula in which the highest exponent is two (i.e., x squared). On a graph, this relationship will look like a parabola.
it be constant
if X lies between 6&12 and Y lies between 24&36 the Y/X will ie between
that's true
A nonlinear relationship is one that cannot be expressed using a line. y=3x is a linear relationship between x and y. y = log(x) is nonlinear.
In a graph, the relationship between the variables y and x can be shown by how they are connected by a line or curve. This relationship can be linear, meaning a straight line, or nonlinear, meaning a curve. The slope of the line or the shape of the curve indicates how the variables change in relation to each other.
If the value of the dependent variable increases as the independent variable ( X ) increases, the graph of this relationship could be a positively sloped line or curve. This indicates a direct correlation where higher values of ( X ) correspond to higher values of the dependent variable. Depending on the nature of the relationship, the graph could be linear or nonlinear, such as exponential or quadratic.
No, it is not an example of a nonlinear relationship because there is a steady rate of change.
The relationship between the variables represented in the graph titled "X vs Y" shows a positive correlation, meaning as the value of X increases, the value of Y also increases.
A graph of Charles' Law shows the relationship between Volume vs. Temperature. Volume is placed on the y axis and temperature on the x axis. The relationship is linear if temperature is in units of Kelvin.
Line Graph
Select a number of different values for the independent variable (usually x). For each x, calculate the value of the dependent variable using the nonlinear equation. Call these f(x). On a Cartesian plane, mark the points whose coordinates are(x,f(x)) and join them by a smooth curve.
It tells you the relationship between the X value and the Y value is constant.
bar graph It's actually line graph. (I just learned this at school.)
the relationship between two variables
It depends on the slope ofthe linear graph. if y=x then the relationship is 1:1 if y=3x then the relationship is 3:1 if y=2/7x then the relationship is 2:7