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gnatalie26gnatalie26 gnatalie26gnatalie26
  • 30-07-2014
  • Mathematics
Answered

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?

Verified Answer :

luana
luana luana
  • 30-07-2014

\(x_{1}=2\\y_1=4\\x_2=4\\y_2=10\)
equation of the line passes through two points:
\((x_2-x_1)(y-y_1)=(y_2-y_1)(x-x_1)\\(4-2)(y-4)=(10-4)(x-2)\\2y-8=6x-12\\2y=6x-4\\y=3x-2\)

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gelatine1
gelatine1 gelatine1
  • 30-07-2014

the slope is \(\frac {10-4}{4-2} = 3\) and thus our equation becomes \(y-4=3*(x-2)\).
If we rearrange terms we get \(y=3x-2\)

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