Determine the equation of the line that goes trough points (1,1) and (3,7)

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asked Nov 26, 2019 110k views

1 vote

Determine the equation of the line that goes trough points (1,1) and (3,7)

Mathematics
high-school

Adrian Hartanto asked

by Adrian Hartanto

6.1k points

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1 Answer

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$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 1 &,& 1~) % (c,d) &&(~ 3 &,& 7~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-1}{3-1}\implies \cfrac{6}{2}\implies 3 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=3(x-1) \\\\\\ y-1=3x-3\implies y=3x-2$

Shreyangi Saxena answered Dec 2, 2019