What is the slope-intercept form of the function that contains the points (3, 1) and (2, 9)?
y = ___ x + ___
Thankiez!!!! ღ
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OpenStudy (sissyedgar):
@TheSmartOne
@StudyGurl14
TheSmartOne (thesmartone):
We first need to find the slope! :)
\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)
Where the two points are in the form:
\(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\)
OpenStudy (sissyedgar):
Sorry internet was laggy!
( 3,1 ) ღ ( 2,9 )
TheSmartOne (thesmartone):
so those are the two points, now we plug them in. I even added colors to make it easier! :)
OpenStudy (sissyedgar):
So....
y = 8x + -1
Right? ღ
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TheSmartOne (thesmartone):
slope is -8 not 8, so re-do the y-intercept :)
OpenStudy (sissyedgar):
So, y = -8x + -1
TheSmartOne (thesmartone):
nope
y = -8x + b
plug in x = 3, and y = 1 and solve for b
OpenStudy (sissyedgar):
-2
TheSmartOne (thesmartone):
how?
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OpenStudy (sissyedgar):
3-1=-2
TheSmartOne (thesmartone):
your ignoring the -8
TheSmartOne (thesmartone):
1 = -8(3) + b
OpenStudy (sissyedgar):
1 = -8(3) + -2?
TheSmartOne (thesmartone):
nope, w =on't work
what is 8 * 3 = ?
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OpenStudy (sissyedgar):
8*3=24
TheSmartOne (thesmartone):
and so -8 * 3 = -24
and
1 = -24 + b
OpenStudy (sissyedgar):
is the b -2?
TheSmartOne (thesmartone):
noooooooooooo
1 = -24 + b
add 24 on both sides
what is 24 + 1 = ?
OpenStudy (sissyedgar):
25
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OpenStudy (sissyedgar):
24+1=25
-24+24=0
TheSmartOne (thesmartone):
so what does b = ?
OpenStudy (sissyedgar):
25!
TheSmartOne (thesmartone):
Correct! ღ
Great job! ღ
OpenStudy (sissyedgar):
My Heart! ღ
xP
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OpenStudy (sissyedgar):
Quick Question tho...
Is 25 what comes after the 'x+'?
xP