Slope intuition

The  exercise appears under the 8th Grade Math Mission. This exercise cultivates the intuition of slope and how lines behave.

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


 * 1) Graph a line with a certain slope: This problem provides a coordinate grid on which a line can be constructed. The student is expected to graph a line with a given slope.Lgi1.png
 * 2) Adjust coefficients to make the line: This problem has a coordinate plane with two blue points. The student is expect to adjust the slope and y-intercept using the manipulative to create the equation of the line.Lgi2.png

Strategies
Knowledge of lines such as slope and uses of slope-intercept form can help to perform this exercise well.
 * 1) It is not necessary to get fancy. It is possible to make a line positive or negative sloped by only moving one point and only moving it slightly. This is the first problem where research has found instances where pressing "Enter" can submit a correct answer with no work.
 * 2) On the Adjust coefficients to make the line problem it is recommended to change slope first by eyeballing, and then moving the y-intercept.

Real-life applications

 * 1) Linear equations show up often in business and many of the sciences.