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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
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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):
????????????
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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
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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
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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?
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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.