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3 years ago

Given the line below. Write the point-slope form of the given line that passes through the points (-4, -1) and (3, -3). Identify

(x1, y1) as (-4, -1).Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Mathematics

1 answer:

allsm [11]3 years ago

4 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ -4}} &,&{{ -1}}~) 
% (c,d)
&&(~{{ 3}} &,&{{ -3}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-3-(-1)}{3-(-4)}\implies \cfrac{-3+1}{3+4}\implies -\cfrac{2}{7}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=-\cfrac{2}{7}[x-(-4)]
\\\\\\
y+1=-\cfrac{2}{7}(x+4)$

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