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 — here's the solution for 1.4: 1.4 Calculate the coordinates of B, where k < 0. Step 1: Use the gradient of AB, m_AB = 7, from 1.3 and the coordinates of A(-2; 10) and B(k; k). Step 2: Apply the gradient formula m = (y_2 - y_1)/(x_2 - x_1). 7 = (k - 10)/(k - (-2)) 7 = (k - 10)/(k + 2) Step 3: Solve for k. 7(k + 2) = k - 10 7k + 14 = k - 10 7k - k = -10 - 14 6k = -24 k = (-24)/(6) k = -4 Step 4: Since B(k; k) and k = -4, the coordinates of B are (-4; -4). This satisfies the condition k < 0. The coordinates of B are (-4; -4). What's next? Send 'em.