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
Hey TIGER, good to see you again. I will solve question 8. Step 1: Calculate the gradient (m) of the line passing through points A(2,4) and B(5,13). The formula for the gradient is m = (y_2 - y_1)/(x_2 - x_1). Given points A(x_1, y_1) = (2,4) and B(x_2, y_2) = (5,13). m = (13 - 4)/(5 - 2) = (9)/(3) = 3 Step 2: Use the point-slope form of a linear equation, y - y_1 = m(x - x_1), with one of the points and the calculated gradient. Using point A(2,4) and m=3: y - 4 = 3(x - 2) Step 3: Convert the equation to the form y = mx + c. y - 4 = 3x - 6 y = 3x - 6 + 4 y = 3x - 2 The equation of the line is y = 3x - 2. Send me the next one 📸