Equations of parallel and perpendicular lines

The  exercise appears under the Algebra I Math Mission. This exercise reinforces recognition of parallel and perpendicular lines.

Types of Problems
There are two types of problems in this exercise:


 * 1) Tell what the lines represent: This problem provides two equations that could be perpendicular, parallel, the same line, or none of the above. The student is asked to select which option is correct.Eopapl1.png
 * 2) Find equation of appropriate line: This problem provides a line and a point. The student is asked to find the equation of a line that is perpendicular or parallel to the give line and though the given point.Eopapl2.png

Strategies
Knowledge of lines and comfort with slope are critical to being able to perform this exercise accurately and efficiently.
 * 1) The line that is requested is going to be in slope-intercept form.
 * 2) Slopes can be used to determine whether lines are parallel or perpendicular. Parallel lines have equal slopes and perpendicular lines have slopes that are negative reciprocals.
 * 3) Sometimes it is possible to use the coefficients to find ratios and determine if lines are parallel or the actual same line.

Real-life Applications

 * 1) Lines have applications in business in the form of supply and demand curves, or cost, revenue and profit functions.