Question

Write the equation of the line in point-slope form that passes through (5, -1) and has a slope of 2/3

Answer 1

Slope form is \[ y = mx + c\]
plugin the m and then plug the given point to find c.

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 5}}\quad ,&{\color{blue}{ -1}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{2}{3}
\\ \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} \)