Step 1 :Find slope: m = \( \frac{y_2 - y_1}{x_2 - x_1}\ = \frac{-11 - 1}{-10 - 5} \ = \frac{-12}{-15} \ = \frac{4}{5} \).
Step 2 :Use point-slope form to find equation: \( y - y_1 = m(x - x_1) \)
Step 3 :Plug in slope and point \( (5,1) \): \( y - 1 = \frac{4}{5}(x - 5) \), simplify to: y = \( \frac{4}{5}x - 3 \)