madmerc
  • madmerc
PLEASE HELP!!! Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form.
Mathematics
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SOLVED
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chestercat
  • chestercat
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Mehek14
  • Mehek14
slope formula \(\tt{\dfrac{y_2-y_1}{x_2-x_1}}\)
Mehek14
  • Mehek14
\(\tt{x_1=-3\\y_1=5\\x_2=2\\y_2=10}\)
madmerc
  • madmerc
The choices are: y = x + 8 y = x − 8 y = −5x − 10 y = −5x + 20

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Mehek14
  • Mehek14
ok so let's find the slope \(\tt{\dfrac{10-5}{2-(-3)}=\dfrac{5}{5}=1}\)
Mehek14
  • Mehek14
so slope is x
Mehek14
  • Mehek14
\(\tt{y=x+b}\) we need to find the y-intercept
Mehek14
  • Mehek14
we can use any of the ordered pairs.
madmerc
  • madmerc
so (-3, 5) would be 5 = -3 + b ?
Mehek14
  • Mehek14
yes so solve for b
madmerc
  • madmerc
is it b = 8 ?
Mehek14
  • Mehek14
yup
Mehek14
  • Mehek14
so slope is 1x or just x y-intercept is 8
Mehek14
  • Mehek14
that makes the equation \(\tt{y=x+8}\)
madmerc
  • madmerc
oh, okay! thank you
Mehek14
  • Mehek14
yw :]

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