View this video showing you how to move from standard form to slope intercept form.Transforming equations and inequalities is changing an equation or an inequality to an equivalent equation or an equivalent inequality. Solving equations and inequalities is finding specific answers for the problem. In this section, you will investigate different ways to transform linear equations from one representation to another.
The most common transformation of a linear equation that you will need to know is how to take an equation in standard form, Ax + By = C, and rewrite it in slope-intercept form, y = mx + b, or vice versa. This transformation is important because the two different forms reveal different types of information quickly.
Form of Linear Equation |
Important Information |
Where You Will See this Form |
Slope-Intercept Form |
The slope is m. |
Problems that include a starting point (b) and a rate of change (m). |
Standard Form |
The x-coordinate of the x-intercept is
C over A
C
A
|
Problems that include a combination of multiples of x and y, like mixture problems. |
View this video showing you how to move from standard form to slope intercept form.
Source: Transforming Linear Equations, Teacher Tube, YouTube
View this video showing you how to move from a slope intercept form to a standard form.
Source: Converting from Slope-Intercept form to Standard form, mswallacemath, YouTube
Try a few practice problems before moving on to the next section. Write the following equations in standard form:
Write the following equations in slope-intercept form:
