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hodyreva [135]
3 years ago
10

I need help... the question is confusing

Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0
\bf \stackrel{line~J}{y+8=-(x-2)}\implies y+8=-x+2
\\\\\\
y=-x-6\implies y=\stackrel{slope}{-1}x-6

now we know the slope of line J is -1.

a line perpendicular to J, will have a negative reciprocal slope, therefore,

\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -1\implies \cfrac{-1}{\underline{1}}\\\\
negative\implies  +\cfrac{1}{{{ \underline{1}}}}\qquad reciprocal\implies + \cfrac{{{ \underline{1}}}}{1}\implies 1

therefore, line K has a slope of 1, and passes through 3,4,

\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
%  (a,b)
&&(~{{ 3}} &,&{{ 4}}~)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}\implies 1
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=1(x-3)\implies y-4=x-3
\\\\\\
y=x+1
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