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Mathematics 23 Online
OpenStudy (wade123):

@ganeshie8

OpenStudy (wade123):

Determine the equation of a line, in slope-intercept form, that passes through the points (9,-2) and (12,0). please explain

ganeshie8 (ganeshie8):

start by findidng the slope

ganeshie8 (ganeshie8):

you're given two points : ` (9,-2) and (12,0)` can you find the slope ?

OpenStudy (wade123):

okk

OpenStudy (wade123):

2/3

ganeshie8 (ganeshie8):

Excellent ! do you know the slope intercept form of line ?

OpenStudy (wade123):

no...

OpenStudy (wade123):

how do i do that

OpenStudy (wade123):

hello @ganeshie8

OpenStudy (wade123):

????????????

OpenStudy (wade123):

@phi

ganeshie8 (ganeshie8):

sorry was away, slope intercept form of line : `y = mx + b`*

ganeshie8 (ganeshie8):

plugin the slope, yout get : \(\huge y = \frac{2}{3}x + b \)

ganeshie8 (ganeshie8):

you need to find \(\large b\)

ganeshie8 (ganeshie8):

plugin any of the given points to find b

ganeshie8 (ganeshie8):

maybe plugin this point : (12,0) x = 12, y = 0 \(\large y = \frac{2}{3}x + b\) \(\large 0 = \frac{2}{3}*12 + b\) \(\large b = ?\)

OpenStudy (wade123):

8

OpenStudy (wade123):

please dont go away, i need help asap

OpenStudy (wade123):

annnd, you went away lol

OpenStudy (phi):

2/ 3 * 12 is 2*12/3 I would divide the 3 into the 12 to get 4 2*4= 8 so 0 = 8 + b to find b, add -8 to both sides

OpenStudy (wade123):

so b is -8

OpenStudy (phi):

yes, now you can write the whole equation

OpenStudy (wade123):

so my answer is just y=2/3-8?

OpenStudy (phi):

if you put in the x

OpenStudy (wade123):

sorry is meant y=2/3x-8?

OpenStudy (wade123):

but thats it?

OpenStudy (phi):

y = (2 /3)x -8 we know (9,-2) is on the line. Let's see if it works x=9 in the equation gives y = 2*9/3 - 8 y = 2*3 - 8 y = 6-8 y= -2 which matches with (9,-2)

OpenStudy (phi):

yes, slope-intercept form is y = mx + b with m and b "filled in" with numbers.

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