Write an equation of the line, in point-slope form, that passes through the two given points.

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

Slope is -10/20=-1/2

y-7=(-1/2)(x+15). answer C

kiruha [24]3 years ago

5 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ -15}} &,&{{ 7}}~) 
% (c,d)
&&(~{{ 5}} &,&{{ -3}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-3-7}{5-(-15)}\implies \cfrac{-3-7}{5+15}$

$\bf \cfrac{-10}{20}\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=-\cfrac{1}{2}[x-(-15)]
\\\\\\
y-7=-\cfrac{1}{2}(x+15)$

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