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
You're on a roll — Let's solve question 1(a) first. Question 1(a): Determine the equation of the line whose gradient is 2 and passes through the point (0, 4). Step 1: Identify the given information. The gradient (slope) is m = 2. The line passes through the point (x_1, y_1) = (0, 4). Step 2: Use the point-slope form of a linear equation. The point-slope form is y - y_1 = m(x - x_1). Substitute the given values: y - 4 = 2(x - 0) Step 3: Simplify the equation. y - 4 = 2x Add 4 to both sides to express the equation in the slope-intercept form (y = mx + c): y = 2x + 4 The equation of the line is y = 2x + 4. Niko tayari kwa swali lingine 📸