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4 years ago

What is the slip-intercept from equation of the line that passes through (3,4) and (5,16)

1 answer:

4 0

Assuming you meant the slope-intercept form of course,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 3 &,& 4~) 
% (c,d)
&&(~ 5 &,& 16~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-4}{5-3}\implies \cfrac{12}{2}\implies 6
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=6(x-3)
\\\\\\
y-4=6x-18\implies y=6x-14$

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Step-by-step explanation:

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