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Find an equation of the line that passes through the points (-2,1) and ()3,3. Write your equation in either point-slope form, standard form, or slope-intercept form.

 May 27, 2023
 #1
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The equation of the line is y = x/5 + 7/5.

 May 27, 2023
 #2
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P(-2,1), P(3,3) Find an equation of the line.

 

Hello Guest!

 

\(f(x)=m(x_P-x)+y_P\\ m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-1}{3-(-2)}\\ m=\dfrac{2}{5}\\ f(x)=\dfrac{2}{5}(x-3)+3=\dfrac{2}{5}x+\dfrac{9}{5}\\or\\ f(x)=\dfrac{2}{5}(x+2)+1=\dfrac{2}{5}x+\dfrac{9}{5}\\ \color{blue}f(x)=\dfrac{2}{5}x+\dfrac{9}{5}\)

laugh  !

 May 27, 2023
edited by asinus  May 28, 2023

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