The slopeof Millicent’s line is. Now find the oppositereciprocalof this value.The reciprocalof is ,
and the oppositeof is. So, is the oppositereciprocalof. Now find the equationthat has a
slopeof. The only equationthat has a slopeof is choiceD, so it is the correctanswer.
Equationsin StandardForm
Thereare otherwaysto writethe equationof a line besidesthe slopeinterceptform.One alternativeis
standardform.Standardform is representedby the equationbelow.
In this equation,both and cannotbe 0. Also,if possible, and shouldbe integers.
Example 4
Convertthe equation into standardform.The goal is to removethe fractionsand have and on the sameside of the equalssign.To start,mul-tiply the entireequationby 7 to eliminatethe denominatorof.
Next multiplythe equationby 3 to eliminatethe denominatorof.Now add to both sidesof the equationto get and on the sameside.We are done.The equationin standardform is.LessonSummary
In this lesson,we exploredhow to understandequationsof lines.Specifically, we havelearned:
- How to identifyand writeequationsin slope-interceptform.
- How to identifyequationsof parallellines.
- How to identifyequationsof perpendicularlines.
- How to identifyand writeequationsin standardform.