Question

Calculate the slope of the line between the points (- 4, 2) and (5, - 5)

Calculate the slope of the line between the points (- 1, 6) and (4, - 5)

Calculate the slope of the line between the points (- 3, - 3) and (6, 2).

Calculate the slope of the line between the points (- 1, 6) and (2, - 4).

Calculate the slope of the line between the points (- 5, - 6) and (2, - 2)

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -4}}\quad ,&{\color{blue}{ 2}})\quad &({\color{red}{ 5}}\quad ,&{\color{blue}{ -5}})\\
&({\color{red}{ -1}}\quad ,&{\color{blue}{ 6}})\quad &({\color{red}{ 4}}\quad ,&{\color{blue}{ -5}})\\
&({\color{red}{ -3}}\quad ,&{\color{blue}{ -3}})\quad &({\color{red}{ 6}}\quad ,&{\color{blue}{ 2}})\\
&({\color{red}{ -1}}\quad ,&{\color{blue}{ 6}})\quad &({\color{red}{ 2}}\quad ,&{\color{blue}{ -4}})\\
&({\color{red}{ -5}}\quad ,&{\color{blue}{ -6}})\quad &({\color{red}{ 2}}\quad ,&{\color{blue}{ -2}})\\
\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}}}\)