Graph from a standard form equation

The  exercise appears under the Algebra I Math Mission. This exercise graphs lines that are given in standard form.

Types of Problems
There is one type of problem in this exercise:


 * 1) Graph the line on the plane: This problem provides an equation in two variables written in standard form, and a coordinate plane. The student is asked to correctly graph the equation on the plane.Gfasfe1.png

Strategies
Knowledge of substitution and graphing on the coordinate plane are encouraged to ensure success on this exercise.
 * 1) The standard form of a line is Ax+By=C.
 * 2) Find the x-intercept by replacing y with zero, and find the y-intercept by replacing x with zero.
 * 3) At least one of the intercepts, and often both, are integers. Plotting these points can increase efficiency.
 * 4) If only one of the intercepts is an integer, graph that intercept then use the fact that the slope is -A/B to move to a second point.

Real-life Applications

 * 1) In linear programming, lines lead themselves to being in standard form and it is necessary to graph these lines to find the feasible region. Linear programming has many applications in the hard and social sciences, as well as economics and business.