Question

help

Answer 1

I'll throw in colors for you

\(\Large\text{Slope} = \dfrac{\color{green}{y_2} - \color{orange}{y_1}}{\color{cyan}{x_2}-\color{red}{x_1}}\)

where you have two points
\(\Large (\color{red}{x_1}, \color{orange}{y_1})\) and \(\Large (\color{cyan}{x_2}, \color{green}{y_2})\)

So your two points are

\((\color{red}{-5}, \color{orange}{2})\) and \((\color{cyan}{11}, \color{green}{r})\)
You know the \(\text{slope} = \dfrac{1}{4}\)

can you plug in all the numbers and solve for 'r'