Converting between slope-intercept and standard form

The  exercise appears under the Algebra I Math Mission. This exercise practices conversion between slope-intercept and standard forms of lines.

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


 * 1) Convert into slope-intercept form: This problem provides a linear equation in two variables written in standard form. The student is asked to convert the equation into slope-intercept form.Cbsiasf1.png
 * 2) Convert into standard form of a line: This problem provides a linear equation in slope-intercept form. The student is asked to convert the line into standard form by providing the correct coefficients.Cbsiasf2.png

Strategies
Knowledge of the general forms of lines would ensure success on this exercise.
 * 1) The slope-intercept form of a line is very popular, sometimes just called y=mx+b form.
 * 2) The standard form of a line is generally Ax+By=C.
 * 3) The slope-intercept form of a line is unique and is found by isolating y.
 * 4) This exercise requires that the standard form of a line has integer coefficients and that the coefficient to x is positive.

Real-life Applications

 * 1) Lines are used to approximate more complicated relationships on small scales.
 * 2) Supply and demand in business can be linear relationships.