Linear growth means that the graph is a straight line.
The word linear means in a straight line. If the graph is a line, it is linear. Also, linear equations are of the first order; they contain a variable but not a square (or higher power) of a variable. If the equation contains x2 it is not linear.
The graph must be linear and pass thru the origin
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
By definition, if you graph the relationship between two variables and the result is a straight line (of whatever slope) that is a linear relationship. If it is a curve, rather than a straight line, then it is not linear.
A graph is non-linear if it does not form a straight line when plotted on a Cartesian coordinate system. This can be identified by observing curves, bends, or changes in direction as you move along the graph. Additionally, if the relationship between the variables does not follow a constant rate of change (i.e., the slope varies), it is indicative of a non-linear relationship. Common examples include quadratic, exponential, and logarithmic functions.
You can determine if a function is linear by examining its graph or its equation. A linear function will produce a straight line when graphed, and its equation can be expressed in the form (y = mx + b), where (m) and (b) are constants. In contrast, a nonlinear function will create a curve or other shapes on the graph, and its equation may involve exponents, products of variables, or other non-linear terms.
-- The graph of a linear equation is a straight line. -- Any two points on a straight line are enough to completely specify the line, that is, to uniquely identify the line and tell you everything there is to know about it.
A linear function, of a variable x, is of the form ax+b where a and b are constants. A non-linear function will have x appearing in some other form: raised to a power other than 1, or in a trigonometric, or exponential or other form.
Unfortunately the graph does not show.. But, i can tell you that business cycle is divided into: 1) introduction - start of the graph 2) growth - graph goes up 3) maturity - graph is static and slowly pointing doen 4)decline - graph starts to go down.. if your graph is this way, then the answer is yes..
All the x's and all the y's in the equation must have no exponent (except '1').If you see an x2, or a square root of 'x' or 'y', or a y-1/2, or a y2, etc. then the graph is not a straight line.
There is a dot on the graph
A table represents a linear relationship if the change in the dependent variable (y) is consistent with a proportional change in the independent variable (x). This can be confirmed by calculating the slope between consecutive points; if the slope remains constant, the relationship is linear. Additionally, plotting the points on a graph should yield a straight line if the relationship is indeed linear.