This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the given information. The gradient (slope) m = 3. The line passes through the point (x_1, y_1) = (2, 1). Step 2: Use the point-slope form of a linear equation, which is y - y_1 = m(x - x_1). Substitute the given values into the formula: y - 1 = 3(x - 2) Step 3: Simplify the equation to the slope-intercept form y = mx + c. Distribute the gradient on the right side: y - 1 = 3x - 6 Add 1 to both sides of the equation: y = 3x - 6 + 1 y = 3x - 5 The equation of the line is y = 3x - 5. y = 3x - 5 That's 2 down. 3 left today — send the next one.