SOLUTION: Determine the equation of the line passing through the points (1, 2) and (6, -4). Please show work.

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Question 751611: Determine the equation of the line passing through the points (1, 2) and (6, -4). Please show work.
Answer by lwsshak3(11628) About Me  (Show Source):
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Determine the equation of the line passing through the points (1, 2) and (6, -4). Please show work.
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Equation for a line: y=mx+b, m=slope, b=y-intercept
slope=∆y/∆x=(-4-2)/6-1)=-6/5
y=-6x/5+b
solve for b using coordinates of one of given points(1,2) on the line
2=-6/5+b
b=2+6/5=16/5
Equation of given line:y=-6x/5+16/5