Which equation is in standard form and represents a line with the slope -1 through the point (-3,5)

1 answer:

8 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ -3 &,& 5~) 
\end{array}
\\\\\\
% slope = m
slope = m\implies -1
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=-1[x-(-3)]
\\\\\\
y-5=-1(x+3)\implies 
y-5=-x-3
\\\\\\
x+y=5-3\implies \stackrel{standard~form}{x+y=2}$

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