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TSI Math: Identifying the Graph of a Particular Equation 2 Views


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Description:

Which of the following graphs is of the line 2x + 3y = 6?


Transcript

00:02

All right sy match members There we go Got a

00:04

pretty colored chart here The following diagram shows graphs of

00:08

several lines and so you get the lines labeled over

00:10

here on the right a bcd Well let's See the

00:12

question which of the following graphs is of the line

00:16

Two x plus three Why is six A cz you

00:24

stare more thiss graph o you'll notice it's beautiful it's

00:27

sophisticated it has influence of the monthly on the algebra

00:30

on yeah we're just making that up it's really Just

00:33

a series of linear grass but that doesn't mean it

00:35

can't make a good picture to find the graph that

00:37

matches the equation to explode Three weikel six we could

00:39

try plugging in points of each of the lines and

00:42

see which ones create true statements However that could take

00:45

a long as it took michelangelo to paint sistine chapel

00:48

so instead let's just change to explode Three y equal

00:51

six into the y equals mx plus b thing that

00:53

we started musing about it Start here and that gets

00:56

us three y equals negative two Acts plus 6 and

00:59

then yeah we just divide out three on both sides

01:01

so we get negative Two thirds acts plus too because

01:05

we gotta divide that six by the three there well

01:07

in slope intercept form Then the slope m is the

01:10

coefficient of x here So it's negative two thirds Which

01:13

means the line decreases gently from left to right And

01:17

even mona lisa has to smile at This discovery will

01:20

the bee in the slope Intercept form tells us that

01:22

the line crosses the y axis at to the matching

01:26

line then is just graft Be right here this thing 00:01:28.913 --> [endTime] this beautiful red line Okay we're done

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