# TSI Math: Plugging in Slope and Point to Find the Equation of a Line

A line passes through the point (-4, -4) and has a slope of . What is its equation?

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

we tattooed on our arm but y equals mx plus

b is you know kind of primary formula for the

slope of a line We got a few other issues

We have to figure out here So let's think through

this here So we have everything we need though a

point and a slope So we know we can calculate

the line All right Well the equation of a line

is determined using a point on the line Let's call

that x one y one and its slope by using

the point slope equation Why minus y one equals the

slope Tens quantity x minus x one Well for this

problem we've got m equals negative three force and think

about that means it's going to be a line sloping

downward look kind of like that And it's uh three

force not a very big slope So it's not super

steve but it's kind of okay And then we got

the point here X one Why One is negative for

negative For they gave that to us So now we

could just kind of plug in chug let's put in

all the numbers we got Why minus why once we

get why minus that negative for there and that equals

will the slow that negative three fourth times the quantity

x minus x one and x one is that negative

forthe right simplify things without y plus four equals negative

three four times quantity expose for and if we seem

fight again that's negative three Acts over 4 minus 3

only subtract four from both sides to find an equation

in the you know normal slope intercept form there that

gets us Why equals negative three force x minus seven

and that's it The equation of line is why equals

negative three four sacks minus seven Answer B b bye