Slope from an equation in standard form

The  exercise appears under the 8th grade (U.S.) Math Mission and Algebra I Math Mission. This exercise finds the slope from a given equation in standard form.

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


 * 1) Find the slope from this equation: This problem provides a linear equation written in standard form. The student is expected to use the equation to correctly determine the slope of the line and provide it in the indicated space.Sfaeisf1.png

Strategies
Knowledge of the slope formula and familiarity with standard form of a line are encouraged to ensure success on this exercise.
 * 1) The slope formula is $$\frac{y_2-y_1}{x_2-x_1}$$.
 * 2) The standard form of a line is $$Ax+By=C$$ and the slope-intercept form is $$y=mx+b$$.
 * 3) Given a line in standard form, the slope is $$\frac{-A}{B}$$ which can be found by isolating y in the standard form of a line.

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.