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All right sy match members There we go Got a

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pretty colored chart here The following diagram shows graphs of

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several lines and so you get the lines labeled over

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

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question which of the following graphs is of the line

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Two x plus three Why is six A cz you

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

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sophisticated it has influence of the monthly on the algebra

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

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

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

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matches the equation to explode Three weikel six we could

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try plugging in points of each of the lines and

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see which ones create true statements However that could take

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a long as it took michelangelo to paint sistine chapel

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

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six into the y equals mx plus b thing that

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we started musing about it Start here and that gets

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us three y equals negative two Acts plus 6 and

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then yeah we just divide out three on both sides

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so we get negative Two thirds acts plus too because

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we gotta divide that six by the three there well

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in slope intercept form Then the slope m is the

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

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means the line decreases gently from left to right And

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even mona lisa has to smile at This discovery will

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the bee in the slope Intercept form tells us that

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the line crosses the y axis at to the matching

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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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