a) Describe how you know that a graph is proportional.
b) Describe how you know an equation is proportional. Given an example of an equation that is proportional and a graph that is not proportional.
c) Describe how you know that a table is proportional.
make each answer 1 sentence short and simple answer
a) A graph is proportional if it forms a straight line passing through the origin (0,0).
b) An equation is proportional if it can be written in the form y = kx, where k is a constant. Example of a proportional equation: y = 2x. Example of a non-proportional graph: y = x^2.
c) A table is proportional if the ratio between any two corresponding values in the table is constant.
what is k and x
In the context of a proportional equation, k represents the constant of proportionality and x represents the independent variable.
a) I can tell that a graph is proportional if it forms a straight line passing through the origin (0,0).
b) I can determine if an equation is proportional if it follows the form y = kx, where k is a constant. An example of a proportional equation is y = 2x, while a graph that is not proportional could be y = x^2.
c) I can identify a proportional table if the ratio of the output values (y) to the corresponding input values (x) remains constant throughout the table.