A Cartesian equation graph, also known as a rectangular coordinate graph, is a visual representation of an equation in the x-y coordinate plane. It is named after the French mathematician and philosopher René Descartes, who first introduced the concept.
To plot a point on a Cartesian equation graph, you need to locate the x-coordinate and y-coordinate on the graph and mark the point where they intersect. The x-coordinate is the horizontal distance from the origin (usually marked as 0) and the y-coordinate is the vertical distance from the origin.
A linear Cartesian equation graph is a straight line, while a nonlinear Cartesian equation graph is a curved line. This is because linear equations have a constant slope, while nonlinear equations have a changing slope.
The slope of a line on a Cartesian equation graph can be determined by finding the change in y-coordinates over the change in x-coordinates between two points on the line. This is represented by the formula slope = (y2-y1)/(x2-x1).
Yes, a Cartesian equation graph can be used to solve equations by graphing the equation and finding the point(s) where the graph intersects the x-axis. These points represent the solutions to the equation.