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TSI Math: Plugging in Slope and Point to Find the Equation of a Line 12 Views


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Description:

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


Transcript

00:02

All right sy shmoop ing math people Here we go

00:04

Next question Ah line passes through the point negative for

00:07

negative for and has a slope of negative three Force

00:10

What is its equation Okay well let's look at this

00:19

We're thinking about that Why equals mx plus b thing

00:22

we tattooed on our arm but y equals mx plus

00:25

b is you know kind of primary formula for the

00:28

slope of a line We got a few other issues

00:31

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

00:33

this here So we have everything we need though a

00:35

point and a slope So we know we can calculate

00:38

the line All right Well the equation of a line

00:40

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

00:43

that x one y one and its slope by using

00:46

the point slope equation Why minus y one equals the

00:49

slope Tens quantity x minus x one Well for this

00:52

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

00:55

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

00:57

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

01:00

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

01:03

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

01:06

the point here X one Why One is negative for

01:08

negative For they gave that to us So now we

01:10

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

01:11

all the numbers we got Why minus why once we

01:14

get why minus that negative for there and that equals

01:17

will the slow that negative three fourth times the quantity

01:20

x minus x one and x one is that negative

01:23

forthe right simplify things without y plus four equals negative

01:27

three four times quantity expose for and if we seem

01:30

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

01:34

only subtract four from both sides to find an equation

01:37

in the you know normal slope intercept form there that

01:40

gets us Why equals negative three force x minus seven

01:45

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

01:48

negative three four sacks minus seven Answer B b bye

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