Question

Write an equation in point-slope form of the line that passes through the points (-5,-4) and (7,-5).

Answer 1

Same as before.

Answer 2

Just refer to the instructions and formulae I gave you for the previous question and do the same thing.

Answer 3

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -5}}\quad ,&{\color{blue}{ -4}})\quad &({\color{red}{ 7}}\quad ,&{\color{blue}{ -5}})
\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}}}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form} \)