Question

Points: (-4,2) and (8,7)
The slope is 5/12
Using slope intercept form y=5/12x + b
what's b or is the equation just y=5/12x+b

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -4}}\quad ,&{\color{blue}{ 2}})\quad &({\color{red}{ 8}}\quad ,&{\color{blue}{ 7}})
\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}}}\to {\color{green}{ \cfrac{5}{12}}}
\\ \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}\)

Answer 2

once you solve for "y", you'd see what "b" is