Find an equation of the line that passes through the points (1,2) and (2,3).
A) y = x - 1
B) y = x + 1
C) y = x - 2
D) y = 2x - 1
@pooja195 i dont know how to start on this one
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pooja195 (pooja195):
Start by finding the slope
Use the slope formula
\[ \huge~\rm~\bf\color{blue}{ \frac{y_2-y_1}{x_2-x_1}=slope} \]
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OpenStudy (heart_offire):
3-2=1 and 2-1= -1
pooja195 (pooja195):
2-1 does not equal -1
OpenStudy (heart_offire):
1 sorry
pooja195 (pooja195):
Good
1/1=1
soo...
our slope is just x
y=mx+b
m=1
now we have:
y=1x+b
To find the b we need to plug in one of the points lets do (1,2)
y=1x+b
Plug in your coordinates
x=1
y=2
Plug in:
2=1(1)+b
solve for b
OpenStudy (heart_offire):
umm b=1?
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pooja195 (pooja195):
Perfect! :)
y=1x+b
now plug in the 1 in place of b what's our answer? (final answeR)