Graph from slope-intercept equation

The  exercise appears under the 8th grade (U.S.) Math Mission, Algebra basics Math Mission, and Algebra I Math Mission. This exercise uses a manipulative to graph lines.

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


 * 1) Graph the line: This problem provides a linear equation in two variables and a coordinate graphing plane. The student is expected to create the graph of the line in the plane provided.Gfsie1.png

Strategies
Knowledge of lines and graphing are encouraged to ensure success on this exercise.
 * 1) The slope-intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept.
 * 2) An efficient way to make these graphs is to start at the y-intercept (where the graph hits the y-axis) and then move the second point in the direction of the slope (rise over run).

Real-life Applications

 * 1) Lines are used to model direct variation.
 * 2) Tangent lines are used to approximate curves in calculus.
 * 3) Cost and Revenue in some special circumstances can be modeled by linear equations.