Question

Which is an equation in point-slope form for the given point and slope?

Point:(8, -4) ; Slope: -5/6

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 8}}\quad ,&{\color{blue}{ -4}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies -\cfrac{5}{6}
\\ \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}\)

Answer 2

so its y-4=5/6 (x-8) ?