4 years ago

Write a linear function for a line that passes through points (6,8) and (8,12)

1 answer:

7 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 6 &,& 8~) 
% (c,d)
&&(~ 8 &,& 12~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-8}{8-6}\implies \cfrac{4}{2}\implies 2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-8=2(x-6)
\\\\\\
y-8=2x-12\implies y=2x-4$

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