30 points ! when dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. each axis on a graph represents one variable in the equation being graphed. what would you use to graph the solution to an equation with one variable? what would you use to graph the solution to an equation with three variables? could you graph an equation containing more than four variables? explain. if you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 1? what would happen to the graph if all the x-values were increased by 1? what would happen to the graph if all the y-values were multiplied by 2 or by 1/2? explain. on

"What would you use to graph the solution to an equation with one variable?" An example of that is the line y=1. This graph has only one dimension.

"When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution."

"What would you use to graph the solution to an equation with three variables?" The commonest instance of this would be 3-d space with three axes (x-, y- and z-) which are perpendicular to each other.

"Could you graph an equation containing more than four variables? Explain. " We could regard 3 of those variables as a way to graph a 3-d object at a particular time, and the time would be represented by the fourth variable. No single graph would constitute the graph of an equation containing more than four variables. Instead, you might present n 3-d graphs in succession, one for each of several given times, such as {1, 2, 3, 4, ... } sec.

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