Question

write an equation of the line passing through the point ( -7, -6 ) with the slope m = 4

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ -7}}\quad ,&{\color{blue}{ -6}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies 4
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values}\\
\qquad \uparrow\\
\textit{point-slope form} \)