Question

What is the slope of the line that passes through the points (–2, 1) and (1, 6)?

A. -7


B. 3/5


C. 5/3


D. -5

Answer 1

\[m=\frac{ y _{2}-y1 }{ x _{2}-x _{1} }\]

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -2}}\quad ,&{\color{blue}{ 1}})\quad &({\color{red}{ 1}}\quad ,&{\color{blue}{ 6}})
\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}}}\)