The slope of each point on the line on the graph is the rate of change at that point.
If the graph is a straight line, then its slope is constant. If the graph is a curved line,
then its slope changes.
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.
The indipendant variable
Independent Variable c:
The slant line of a graph is often referred to as the "slope" of the line. It represents the rate of change between the two variables plotted on the axes. The slope indicates how much one variable changes in relation to a change in the other variable, and it can be positive, negative, or zero depending on the direction of the line.
A constant rate on a graph is typically represented by a straight, diagonal line. This indicates that the change in one variable is consistent with respect to the change in another variable, such as time. For example, if you graph distance versus time for an object moving at a steady speed, the slope of the line remains constant, reflecting the constant rate of motion.
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.
To find the constant of proportionality in a table, identify the ratio of the dependent variable to the independent variable for any pair of values; this ratio should remain consistent across all pairs. In a graph, the constant of proportionality is the slope of the line, which represents the change in the dependent variable per unit change in the independent variable. In an equation of the form ( y = kx ), the constant of proportionality is the coefficient ( k ). If the relationship is proportional, ( k ) will be the same regardless of the values chosen.
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.
A straight line on a graph indicates a linear relationship between the dependent variable and the independent variable. This means that as the independent variable changes, the dependent variable changes at a constant rate. The slope of the line represents the rate of change, while the y-intercept indicates the value of the dependent variable when the independent variable is zero.
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.