1. Given points are $(2, -5)$ and $(-1, 1)$ which lie on a line. We need to find the equation of this line in standard form. 2. First, calculate the slope $m$ using the formula $$m=\frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-5)}{-1 - 2} = \frac{6}{-3} = -2$$ 3. Use point-slope form of a line with point $(2,-5)$: $$y - y_1 = m(x - x_1)$$ Substituting values: $$y + 5 = -2(x - 2)$$ 4. Simplify: $$y + 5 = -2x + 4$$ Move all terms to one side: $$2x + y + 1 = 0$$ 5. Thus, the line in standard form is $$\boxed{2x + y + 1 = 0}$$.