Question

what is the y-coordinate of point B if the slope of line AB is 5? point A is (2,4) and point b is (3,y)

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
A&({\color{red}{ 2}}\quad ,&{\color{blue}{ 4}})\quad B&({\color{red}{ 3}}\quad ,&{\color{blue}{ y}})
\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}}}= {\color{green}{ 5}}\qquad thus
\\ \quad \\
\cfrac{{\color{blue}{ y}}-{\color{blue}{ 4}}}{{\color{red}{ 3}}-{\color{red}{ 2}}}= {\color{green}{ 5}}\)

solve for \({\color{blue}{ y}}\)