# TSI Math: Identifying the Graph of a Particular Equation

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

Elementary Algebra and Functions | Linear Equations, Inequalities, and Systems |

Mathematics and Statistics Assessment | Linear Equations, Inequalities, and Systems |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Elementary Algebra and Functions |

TSI Mathematics | Elementary Algebra and Functions |

Test Prep | TSI |

### Transcript

Two x plus three Why is six A cz you

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

sophisticated it has influence of the monthly on the algebra

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

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

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

matches the equation to explode Three weikel six we could

try plugging in points of each of the lines and

see which ones create true statements However that could take

a long as it took michelangelo to paint sistine chapel

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

six into the y equals mx plus b thing that

we started musing about it Start here and that gets

us three y equals negative two Acts plus 6 and

then yeah we just divide out three on both sides

so we get negative Two thirds acts plus too because

we gotta divide that six by the three there well

in slope intercept form Then the slope m is the

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

means the line decreases gently from left to right And

even mona lisa has to smile at This discovery will

the bee in the slope Intercept form tells us that

the line crosses the y axis at to the matching

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