Q: How do you tell whether a graph shows a constant or variable rate of change?

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You only connects dots an a graph when the variable is in constant movement never stopping.

Direct proportions may be represented by a straight line through the origin, with the equation y = kx. The gradient of the line is the constant of proportionality and is a measure of the change in the "dependent" variable for a unit change in the "independent" variable. In the case of an inverse proportionality, the graph is a hyperbola with the equation y = k/x. The constant of proportionality, k, is a measure of the change in the reciprocal of the "dependent" variable for a unit change in the "independent" variable.

Independent Variable c:

The indipendant variable

The derivate of zero - as well as the derivative of ANY constant (non-variable) number, is zero. (A graph of y = 0 for example will be a horizontal line - the slope is zero.)

Related questions

If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.

Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.

a graph of the independent variable and dependant that shows a graph with a fixed gradient (I.E a line graph) The equation of the graph will be given by y = mx +c where m is the gradient and c is a constant

a graph of the independent variable and dependant that shows a graph with a fixed gradient (I.E a line graph) The equation of the graph will be given by y = mx +c where m is the gradient and c is a constant

You only connects dots an a graph when the variable is in constant movement never stopping.

Direct proportions may be represented by a straight line through the origin, with the equation y = kx. The gradient of the line is the constant of proportionality and is a measure of the change in the "dependent" variable for a unit change in the "independent" variable. In the case of an inverse proportionality, the graph is a hyperbola with the equation y = k/x. The constant of proportionality, k, is a measure of the change in the reciprocal of the "dependent" variable for a unit change in the "independent" variable.

x=3 means that the x variable always stays constant, so the y variable can change as much as it wants, but x will always be 3. on a graph, this would like a vertical line. (It should be perpendicular to the x variable's line...if that helps a visual:P)

Rate of change of the "vertical" variable in relation to the "horizontal" variable.

The rise and the run.

The rise and the run.

No. It will only do that if the other variable is dependent on it.

A straight line on a graph indicates a linear relationship between the dependent variable and the independent variable. This means that as one variable changes, the other changes at a constant rate, resulting in a line with a steady slope.