Question

What would this be??

What is the equation of a line, in general form, that passes through point (1,-2) and has a slope of 1/3
A. 3x-y-7=0
B. X-3y+7=0
C. X-3y-7=0

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 1}}\quad ,&{\color{blue}{ -2}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{1}{3}
\\ \quad \\

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}\)