CK12 - Geometry

First find the slopeof the line. You alreadyknowhow to do this usingthe slopeformula.In this scenario,
pick two pointson the line to completethe formula.Use (0,3) and (2,2).

The slopeof the line is. This valuewill replace in the slope-interceptequation.Now you needto

find the -intercept.Identifyon the graphwherethe line intersectsthe -axis.It crossesthe axesat

so the -interceptis This will replace in the slope-interceptequation,so now you haveall
the informationyou needto write the full equation.The equationfor the line shownin the graphis

.

Equationsof ParallelLines

You studiedparallellinesand their graphicalrelationshipsin the last lesson.In this lesson,you will learn
how to easilyidentifyequationsof parallellines.It’s simple—lookfor equationsthat havethe sameslope.

As long as the -interceptsare not the sameand the slopesare equal,the linesare parallel.(If the
-interceptand the slopeare the same,then the two equationswouldbe for the sameline, and a line cannot
be parallelto itself.)

Example 2

Millicentdrewthe line below.