Round #1014

Find the equation of the line passing through (1, 2) and (4, 11).

```csharp using System; class Program { static void Main() { // Define the points double x1 = 1; double y1 = 2; double x2 = 4; double y2 = 11; // Calculate the slope double m = (y2 - y1) / (x2 - x1); // Calculate the y-intercept double b = y1 - m * x1; // Print the equation of the line Console.WriteLine($"y = {m}x + {b}"); } } ```

To find the equation of the line, we first need to calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (4, 11). m = (11 - 2) / (4 - 1) = 9 / 3 = 3. Next, we use the point-slope form of a line, y - y1 = m(x - x1), and substitute the values of m and (x1, y1). y - 2 = 3(x - 1) Expanding the equation gives: y - 2 = 3x - 3 Adding 2 to both sides gives the equation in slope-intercept form: y = 3x - 1.