Equations involving one or two variables can be graphed on any x− y coordinate plane. In general, the following principles are true:
- If a point lies on the graph of an equation, then its coordinates make the equation a true statement.
- If the coordinates of a point make an equation a true statement, then the point lies on the graph of the equation.
A linear equation is any equation whose graph is a line. All linear equations can be written in the form Ax + By = C where A, B, and C are real numbers and A and B are not both zero. The following examples are linear equations and their respective A, B, and C values.
This form for equations of lines is known as the standard form for the equation of a line.
The x -intercept of a graph is the point where the graph intersects the x-axis. It always has a y-coordinate of zero. A horizontal line that is not the x-axis has no x-intercept .
The y -intercept of a graph is the point where the graph intersects the y-axis. It always has an x-coordinate of zero. A vertical line that is not the y-axis has no y-intercept .
One way to graph a linear equation is to find solutions by giving a value to one variable and solving the resulting equation for the other variable. A minimum of two points is necessary to graph a linear equation.
Hope the above explanation helped you.
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