Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
y = 3x − 7
y = 3x − 5
y = 5x − 11
y = 5x − 9
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katherine:
@SourMunchkin7806
SourMunchkin7806:
i dont know this one sorry lol...i know bits and pieces of this section of math
katherine:
its ok:P
katherine:
@JustSaiyan @Felicity96 @Vocaloid
Felicity96:
Katherine what do you think
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katherine:
idk. that's why I'm asking
Felicity96:
Take a guess
katherine:
A
563blackghost:
You need to first identify the slope, plug the points in here...
\(\Large\bf{\frac{-1-4}{2-3}}\) what is the slope?
katherine:
umm
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katherine:
-5/-1
563blackghost:
Correct, so the negatives cancel to 5.
So that is our slope!
\(\large\bf{y=5x+b}\)
Now we need to identify the y-intercept.
So we would plug in one coordinate into the equation. Let's use (3,4).
\(\large\bf{4=5(3)+b}\)
What is b?
katherine:
y=3x-5
563blackghost:
not quite.
First we multiply.
\(\large\bf{4=15+b}\)
Then subtract 15 from each side.
\(\large\bf{-11=b}\)
\(\large\bf{y=5x-11}\)
katherine:
So, C?
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