The Graphing linear equations exercise used to appear under the Algebra I Math Mission. This exercise introduces the graphing lines on the KA manipulative.
Types of Problems
There are three types of problems in this exercise:
- Graph the line given in slope-intercept form: This problem provides an equation of a line given in slope-intercept form. The student is expected to use this to graph the line.
- Graph the line given in standard form: This problem provides an equation of a line given in standard form. The student is expected to use this to graph the line.
- Graph the special case of a line: This problem provides an equation of a line that is either horizontal or vertical. The student is expected to graph the line on the coordinate plane.
Strategies
Knowledge of graphing lines and the many forms of a line is useful for performing this exercise.
- There are really five forms of line and four of them show up here. Slope-intercept, Standard form, vertical line and horizontal line. The point-slope form is not terribly useful for this exercise.
- When graphing with slope-intercept, it is efficient to graph the y-intercept, then graph a second point by using slope.
- When graphing in standard form, using the intercepts is very efficient.
- Vertical lines have equations of and horizontal lines are .
Real-life applications
- Equations show up in nearly every science or business class one is ever in.
- Computers are also equation solvers. Computers were originally invented to solve equations over and over again instead of humans doing the calculations.