Question

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

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({\color{red}{ -3}}\quad ,&{\color{blue}{ 5}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= -1
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and move everything to the left}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 2

thanks