Slope from two solutions

The  exercise appears under the Algebra basics Math Mission and Algebra I Math Mission. This exercise finds the slope between two solutions to a linear equation.

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


 * 1) Find the slope between the points: This problem provides two inputs and associated outputs from a linear function. The student is expected to use these four values to correctly calculate the slope of the function if it were linear.Sfts1.png

Strategies
Knowledge of the slope formula is encouraged to ensure success on this exercise.
 * 1) Although these are called solutions, they effectively are points on the graph of the line.
 * 2) The slope formula is $$\frac{y_2-y_1}{x_2-x_1}$$.
 * 3) Slope can be thought of by the mnemonic "rise over run" which can improve efficiency slightly on this exercise.

Real-life Applications

 * 1) Slope is one of the most foundational concepts in mathematics.
 * 2) Calculus, at least differential calculus, can be thought of as applying the concept of slope to non-slopey graphs.