Question

Find the equation of a line with the given points. (Put your answers in the form y = mx + b.)


(7, 2)
(5, 4)

Answer 1

first find the slope

Answer 2

then plug the numbers in to slope intercept form of \[y-y_1 = m(x-x_1) \]
then turn that into\[ y =mx+b \] form
remember m is the slope

Answer 3

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 7}}\quad ,&{\color{blue}{ 2}})\quad &({\color{red}{ 5}}\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}}}
\\ \quad \\

y-y_1={\color{green} m}(x-x_1)\qquad \textit{plug in your values and solve for "y"}\)