Question

Find the slope of the line passing through the points (1, –5) and (4, 1).

Answer 1

\(\sf \large m= \frac{y_2-y_1}{x_2-x_1}\)

where \(\sf (x_1, y_1)\) and \(\sf (x_2, y_2)\) are your given points.

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 1}}\quad ,&{\color{blue}{ -5}})\quad &({\color{red}{ 4}}\quad ,&{\color{blue}{ 1}})
\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}}}\)