Question

find the value of k so the line through the given points has the given slope (o, k) and (3,4); m-1

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ o}}\quad ,&{\color{blue}{ k}})\quad &({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\implies \cfrac{{\color{blue}{ 4}}-{\color{blue}{ k}}}{{\color{red}{ 3}}-{\color{red}{ o}}}={\color{green}{ m}}-1
\\ \quad \\
\textit{solve for "k"}\)