Algebra-1

Question Analysis
This question assesses the ability to find the standard form of a linear equation given two points on the line. It requires calculating the slope, using point-slope form, and converting to standard form.

Key Concept Explanation
The standard form of a linear equation is $$Ax + By = C$$. Given two points, one can determine the slope, write the equation in point-slope form, and then convert it to standard form by rearranging terms.

Step-by-step Solution
1. Find the slope using the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 5}{6 - 2} = \frac{-8}{4} = -2$$
2. Use point-slope form with point $$(2, 5)$$: $$y - 5 = -2(x - 2)$$
3. Simplify: $$y - 5 = -2x + 4$$
4. R...